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Finding the Third Proportional to 103,674.94 and 156,461.63

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Solution

The third proportional to 103,674.94 and 156,461.63 is: 236,124.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,674.94 : 156,461.63 = 156,461.63 : x
  2. Step 2: Convert to fraction form
    103,674.94/156,461.63 = 156,461.63/x
  3. Step 3: Cross multiply
    103,674.94x = 156,461.63 × 156,461.63
  4. Step 4: Simplify right side
    103,674.94x = 24,480,240,097.64
  5. Step 5: Solve for x
    x = 24,480,240,097.64/103,674.94
  6. Step 6: Final answer
    x = 236,124.96

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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.