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Finding the Third Proportional to 60,610.50 and 129,645

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Solution

The third proportional to 60,610.50 and 129,645 is: 277,308.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,610.50 : 129,645 = 129,645 : x
  2. Step 2: Convert to fraction form
    60,610.50/129,645 = 129,645/x
  3. Step 3: Cross multiply
    60,610.50x = 129,645 × 129,645
  4. Step 4: Simplify right side
    60,610.50x = 16,807,826,025
  5. Step 5: Solve for x
    x = 16,807,826,025/60,610.50
  6. Step 6: Final answer
    x = 277,308.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.