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Finding the Third Proportional to 58,059 and 86,862

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Solution

The third proportional to 58,059 and 86,862 is: 129,954.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,059 : 86,862 = 86,862 : x
  2. Step 2: Convert to fraction form
    58,059/86,862 = 86,862/x
  3. Step 3: Cross multiply
    58,059x = 86,862 × 86,862
  4. Step 4: Simplify right side
    58,059x = 7,545,007,044
  5. Step 5: Solve for x
    x = 7,545,007,044/58,059
  6. Step 6: Final answer
    x = 129,954.13

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Why These Related Problems?

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