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Finding the Third Proportional to 52,769 and 73,402

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Solution

The third proportional to 52,769 and 73,402 is: 102,102.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,769 : 73,402 = 73,402 : x
  2. Step 2: Convert to fraction form
    52,769/73,402 = 73,402/x
  3. Step 3: Cross multiply
    52,769x = 73,402 × 73,402
  4. Step 4: Simplify right side
    52,769x = 5,387,853,604
  5. Step 5: Solve for x
    x = 5,387,853,604/52,769
  6. Step 6: Final answer
    x = 102,102.63

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.