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Finding the Third Proportional to 63,394 and 97,817

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Solution

The third proportional to 63,394 and 97,817 is: 150,931.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,394 : 97,817 = 97,817 : x
  2. Step 2: Convert to fraction form
    63,394/97,817 = 97,817/x
  3. Step 3: Cross multiply
    63,394x = 97,817 × 97,817
  4. Step 4: Simplify right side
    63,394x = 9,568,165,489
  5. Step 5: Solve for x
    x = 9,568,165,489/63,394
  6. Step 6: Final answer
    x = 150,931.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.