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Finding the Third Proportional to 60,200.75 and 131,820.25

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Solution

The third proportional to 60,200.75 and 131,820.25 is: 288,643.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,200.75 : 131,820.25 = 131,820.25 : x
  2. Step 2: Convert to fraction form
    60,200.75/131,820.25 = 131,820.25/x
  3. Step 3: Cross multiply
    60,200.75x = 131,820.25 × 131,820.25
  4. Step 4: Simplify right side
    60,200.75x = 17,376,578,310.06
  5. Step 5: Solve for x
    x = 17,376,578,310.06/60,200.75
  6. Step 6: Final answer
    x = 288,643.88

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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.