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Finding the Third Proportional to 59,472 and 92,493

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Solution

The third proportional to 59,472 and 92,493 is: 143,848.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,472 : 92,493 = 92,493 : x
  2. Step 2: Convert to fraction form
    59,472/92,493 = 92,493/x
  3. Step 3: Cross multiply
    59,472x = 92,493 × 92,493
  4. Step 4: Simplify right side
    59,472x = 8,554,955,049
  5. Step 5: Solve for x
    x = 8,554,955,049/59,472
  6. Step 6: Final answer
    x = 143,848.45

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.