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Finding the Third Proportional to 60,372.50 and 131,963.50

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Solution

The third proportional to 60,372.50 and 131,963.50 is: 288,448.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,372.50 : 131,963.50 = 131,963.50 : x
  2. Step 2: Convert to fraction form
    60,372.50/131,963.50 = 131,963.50/x
  3. Step 3: Cross multiply
    60,372.50x = 131,963.50 × 131,963.50
  4. Step 4: Simplify right side
    60,372.50x = 17,414,365,332.25
  5. Step 5: Solve for x
    x = 17,414,365,332.25/60,372.50
  6. Step 6: Final answer
    x = 288,448.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.