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Finding the Third Proportional to 60,139.50 and 129,903

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Solution

The third proportional to 60,139.50 and 129,903 is: 280,594.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,139.50 : 129,903 = 129,903 : x
  2. Step 2: Convert to fraction form
    60,139.50/129,903 = 129,903/x
  3. Step 3: Cross multiply
    60,139.50x = 129,903 × 129,903
  4. Step 4: Simplify right side
    60,139.50x = 16,874,789,409
  5. Step 5: Solve for x
    x = 16,874,789,409/60,139.50
  6. Step 6: Final answer
    x = 280,594.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.