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Finding the Third Proportional to 59,410 and 86,441

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Solution

The third proportional to 59,410 and 86,441 is: 125,770.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,410 : 86,441 = 86,441 : x
  2. Step 2: Convert to fraction form
    59,410/86,441 = 86,441/x
  3. Step 3: Cross multiply
    59,410x = 86,441 × 86,441
  4. Step 4: Simplify right side
    59,410x = 7,472,046,481
  5. Step 5: Solve for x
    x = 7,472,046,481/59,410
  6. Step 6: Final answer
    x = 125,770.85

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.