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Finding the Third Proportional to 60,689.25 and 130,578.75

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Solution

The third proportional to 60,689.25 and 130,578.75 is: 280,952.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,689.25 : 130,578.75 = 130,578.75 : x
  2. Step 2: Convert to fraction form
    60,689.25/130,578.75 = 130,578.75/x
  3. Step 3: Cross multiply
    60,689.25x = 130,578.75 × 130,578.75
  4. Step 4: Simplify right side
    60,689.25x = 17,050,809,951.56
  5. Step 5: Solve for x
    x = 17,050,809,951.56/60,689.25
  6. Step 6: Final answer
    x = 280,952.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.