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Finding the Third Proportional to 64,176.75 and 96,265.13

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Solution

The third proportional to 64,176.75 and 96,265.13 is: 144,397.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,176.75 : 96,265.13 = 96,265.13 : x
  2. Step 2: Convert to fraction form
    64,176.75/96,265.13 = 96,265.13/x
  3. Step 3: Cross multiply
    64,176.75x = 96,265.13 × 96,265.13
  4. Step 4: Simplify right side
    64,176.75x = 9,266,974,291.27
  5. Step 5: Solve for x
    x = 9,266,974,291.27/64,176.75
  6. Step 6: Final answer
    x = 144,397.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.