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Finding the Third Proportional to 60,375 and 132,415

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Solution

The third proportional to 60,375 and 132,415 is: 290,413.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,375 : 132,415 = 132,415 : x
  2. Step 2: Convert to fraction form
    60,375/132,415 = 132,415/x
  3. Step 3: Cross multiply
    60,375x = 132,415 × 132,415
  4. Step 4: Simplify right side
    60,375x = 17,533,732,225
  5. Step 5: Solve for x
    x = 17,533,732,225/60,375
  6. Step 6: Final answer
    x = 290,413.78

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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.