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Finding the Third Proportional to 59,571 and 92,624

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Solution

The third proportional to 59,571 and 92,624 is: 144,016.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,571 : 92,624 = 92,624 : x
  2. Step 2: Convert to fraction form
    59,571/92,624 = 92,624/x
  3. Step 3: Cross multiply
    59,571x = 92,624 × 92,624
  4. Step 4: Simplify right side
    59,571x = 8,579,205,376
  5. Step 5: Solve for x
    x = 8,579,205,376/59,571
  6. Step 6: Final answer
    x = 144,016.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.