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Finding the Third Proportional to 59,442 and 92,337

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Solution

The third proportional to 59,442 and 92,337 is: 143,435.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,442 : 92,337 = 92,337 : x
  2. Step 2: Convert to fraction form
    59,442/92,337 = 92,337/x
  3. Step 3: Cross multiply
    59,442x = 92,337 × 92,337
  4. Step 4: Simplify right side
    59,442x = 8,526,121,569
  5. Step 5: Solve for x
    x = 8,526,121,569/59,442
  6. Step 6: Final answer
    x = 143,435.98

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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.