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Finding the Third Proportional to 58,092 and 86,898

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Solution

The third proportional to 58,092 and 86,898 is: 129,987.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,092 : 86,898 = 86,898 : x
  2. Step 2: Convert to fraction form
    58,092/86,898 = 86,898/x
  3. Step 3: Cross multiply
    58,092x = 86,898 × 86,898
  4. Step 4: Simplify right side
    58,092x = 7,551,262,404
  5. Step 5: Solve for x
    x = 7,551,262,404/58,092
  6. Step 6: Final answer
    x = 129,987.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.