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Finding the Third Proportional to 59,954 and 87,987

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Solution

The third proportional to 59,954 and 87,987 is: 129,127.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,954 : 87,987 = 87,987 : x
  2. Step 2: Convert to fraction form
    59,954/87,987 = 87,987/x
  3. Step 3: Cross multiply
    59,954x = 87,987 × 87,987
  4. Step 4: Simplify right side
    59,954x = 7,741,712,169
  5. Step 5: Solve for x
    x = 7,741,712,169/59,954
  6. Step 6: Final answer
    x = 129,127.53

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.