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Finding the Third Proportional to 60,414.75 and 129,577.50

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Solution

The third proportional to 60,414.75 and 129,577.50 is: 277,917.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,414.75 : 129,577.50 = 129,577.50 : x
  2. Step 2: Convert to fraction form
    60,414.75/129,577.50 = 129,577.50/x
  3. Step 3: Cross multiply
    60,414.75x = 129,577.50 × 129,577.50
  4. Step 4: Simplify right side
    60,414.75x = 16,790,328,506.25
  5. Step 5: Solve for x
    x = 16,790,328,506.25/60,414.75
  6. Step 6: Final answer
    x = 277,917.70

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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.