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Finding the Third Proportional to 62,524 and 89,560

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Solution

The third proportional to 62,524 and 89,560 is: 128,286.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,524 : 89,560 = 89,560 : x
  2. Step 2: Convert to fraction form
    62,524/89,560 = 89,560/x
  3. Step 3: Cross multiply
    62,524x = 89,560 × 89,560
  4. Step 4: Simplify right side
    62,524x = 8,020,993,600
  5. Step 5: Solve for x
    x = 8,020,993,600/62,524
  6. Step 6: Final answer
    x = 128,286.64

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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.