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Finding the Third Proportional to 59,092 and 89,731

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Solution

The third proportional to 59,092 and 89,731 is: 136,256.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,092 : 89,731 = 89,731 : x
  2. Step 2: Convert to fraction form
    59,092/89,731 = 89,731/x
  3. Step 3: Cross multiply
    59,092x = 89,731 × 89,731
  4. Step 4: Simplify right side
    59,092x = 8,051,652,361
  5. Step 5: Solve for x
    x = 8,051,652,361/59,092
  6. Step 6: Final answer
    x = 136,256.22

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.