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Finding the Third Proportional to 117,618.75 and 156,502.13

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Solution

The third proportional to 117,618.75 and 156,502.13 is: 208,239.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,618.75 : 156,502.13 = 156,502.13 : x
  2. Step 2: Convert to fraction form
    117,618.75/156,502.13 = 156,502.13/x
  3. Step 3: Cross multiply
    117,618.75x = 156,502.13 × 156,502.13
  4. Step 4: Simplify right side
    117,618.75x = 24,492,915,129.52
  5. Step 5: Solve for x
    x = 24,492,915,129.52/117,618.75
  6. Step 6: Final answer
    x = 208,239.89

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.