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Finding the Third Proportional to 64,934 and 97,402

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Solution

The third proportional to 64,934 and 97,402 is: 146,104.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,934 : 97,402 = 97,402 : x
  2. Step 2: Convert to fraction form
    64,934/97,402 = 97,402/x
  3. Step 3: Cross multiply
    64,934x = 97,402 × 97,402
  4. Step 4: Simplify right side
    64,934x = 9,487,149,604
  5. Step 5: Solve for x
    x = 9,487,149,604/64,934
  6. Step 6: Final answer
    x = 146,104.50

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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.