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Finding the Third Proportional to 62,046 and 87,723

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Solution

The third proportional to 62,046 and 87,723 is: 124,026.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,046 : 87,723 = 87,723 : x
  2. Step 2: Convert to fraction form
    62,046/87,723 = 87,723/x
  3. Step 3: Cross multiply
    62,046x = 87,723 × 87,723
  4. Step 4: Simplify right side
    62,046x = 7,695,324,729
  5. Step 5: Solve for x
    x = 7,695,324,729/62,046
  6. Step 6: Final answer
    x = 124,026.12

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.