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Finding the Third Proportional to 40,897 and 87,710

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Solution

The third proportional to 40,897 and 87,710 is: 188,107.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,897 : 87,710 = 87,710 : x
  2. Step 2: Convert to fraction form
    40,897/87,710 = 87,710/x
  3. Step 3: Cross multiply
    40,897x = 87,710 × 87,710
  4. Step 4: Simplify right side
    40,897x = 7,693,044,100
  5. Step 5: Solve for x
    x = 7,693,044,100/40,897
  6. Step 6: Final answer
    x = 188,107.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.