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Finding the Third Proportional to 51,586 and 81,987

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Solution

The third proportional to 51,586 and 81,987 is: 130,304.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,586 : 81,987 = 81,987 : x
  2. Step 2: Convert to fraction form
    51,586/81,987 = 81,987/x
  3. Step 3: Cross multiply
    51,586x = 81,987 × 81,987
  4. Step 4: Simplify right side
    51,586x = 6,721,868,169
  5. Step 5: Solve for x
    x = 6,721,868,169/51,586
  6. Step 6: Final answer
    x = 130,304.12

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.