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Finding the Third Proportional to 59,481 and 92,242

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Solution

The third proportional to 59,481 and 92,242 is: 143,047.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,481 : 92,242 = 92,242 : x
  2. Step 2: Convert to fraction form
    59,481/92,242 = 92,242/x
  3. Step 3: Cross multiply
    59,481x = 92,242 × 92,242
  4. Step 4: Simplify right side
    59,481x = 8,508,586,564
  5. Step 5: Solve for x
    x = 8,508,586,564/59,481
  6. Step 6: Final answer
    x = 143,047.13

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