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Finding the Third Proportional to 103,719.09 and 156,532.64

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Solution

The third proportional to 103,719.09 and 156,532.64 is: 236,238.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,719.09 : 156,532.64 = 156,532.64 : x
  2. Step 2: Convert to fraction form
    103,719.09/156,532.64 = 156,532.64/x
  3. Step 3: Cross multiply
    103,719.09x = 156,532.64 × 156,532.64
  4. Step 4: Simplify right side
    103,719.09x = 24,502,467,581.04
  5. Step 5: Solve for x
    x = 24,502,467,581.04/103,719.09
  6. Step 6: Final answer
    x = 236,238.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.