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Finding the Third Proportional to 58,086 and 86,898

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Solution

The third proportional to 58,086 and 86,898 is: 130,001.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,086 : 86,898 = 86,898 : x
  2. Step 2: Convert to fraction form
    58,086/86,898 = 86,898/x
  3. Step 3: Cross multiply
    58,086x = 86,898 × 86,898
  4. Step 4: Simplify right side
    58,086x = 7,551,262,404
  5. Step 5: Solve for x
    x = 7,551,262,404/58,086
  6. Step 6: Final answer
    x = 130,001.42

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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.