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Finding the Third Proportional to 56,060 and 81,932

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Solution

The third proportional to 56,060 and 81,932 is: 119,744.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,060 : 81,932 = 81,932 : x
  2. Step 2: Convert to fraction form
    56,060/81,932 = 81,932/x
  3. Step 3: Cross multiply
    56,060x = 81,932 × 81,932
  4. Step 4: Simplify right side
    56,060x = 6,712,852,624
  5. Step 5: Solve for x
    x = 6,712,852,624/56,060
  6. Step 6: Final answer
    x = 119,744.07

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.