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Finding the Third Proportional to 96,554.53 and 127,666.13

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Solution

The third proportional to 96,554.53 and 127,666.13 is: 168,802.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,554.53 : 127,666.13 = 127,666.13 : x
  2. Step 2: Convert to fraction form
    96,554.53/127,666.13 = 127,666.13/x
  3. Step 3: Cross multiply
    96,554.53x = 127,666.13 × 127,666.13
  4. Step 4: Simplify right side
    96,554.53x = 16,298,639,472.52
  5. Step 5: Solve for x
    x = 16,298,639,472.52/96,554.53
  6. Step 6: Final answer
    x = 168,802.43

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.