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Finding the Third Proportional to 63,397.69 and 97,134.19

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Solution

The third proportional to 63,397.69 and 97,134.19 is: 148,823.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,397.69 : 97,134.19 = 97,134.19 : x
  2. Step 2: Convert to fraction form
    63,397.69/97,134.19 = 97,134.19/x
  3. Step 3: Cross multiply
    63,397.69x = 97,134.19 × 97,134.19
  4. Step 4: Simplify right side
    63,397.69x = 9,435,050,381.29
  5. Step 5: Solve for x
    x = 9,435,050,381.29/63,397.69
  6. Step 6: Final answer
    x = 148,823.26

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.