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Finding the Third Proportional to 59,372 and 92,342

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Solution

The third proportional to 59,372 and 92,342 is: 143,620.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,372 : 92,342 = 92,342 : x
  2. Step 2: Convert to fraction form
    59,372/92,342 = 92,342/x
  3. Step 3: Cross multiply
    59,372x = 92,342 × 92,342
  4. Step 4: Simplify right side
    59,372x = 8,527,044,964
  5. Step 5: Solve for x
    x = 8,527,044,964/59,372
  6. Step 6: Final answer
    x = 143,620.65

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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.