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Finding the Third Proportional to 61,528 and 87,982

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Solution

The third proportional to 61,528 and 87,982 is: 125,809.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,528 : 87,982 = 87,982 : x
  2. Step 2: Convert to fraction form
    61,528/87,982 = 87,982/x
  3. Step 3: Cross multiply
    61,528x = 87,982 × 87,982
  4. Step 4: Simplify right side
    61,528x = 7,740,832,324
  5. Step 5: Solve for x
    x = 7,740,832,324/61,528
  6. Step 6: Final answer
    x = 125,809.91

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.