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Finding the Third Proportional to 60,585.75 and 127,371.09

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Solution

The third proportional to 60,585.75 and 127,371.09 is: 267,775.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,585.75 : 127,371.09 = 127,371.09 : x
  2. Step 2: Convert to fraction form
    60,585.75/127,371.09 = 127,371.09/x
  3. Step 3: Cross multiply
    60,585.75x = 127,371.09 × 127,371.09
  4. Step 4: Simplify right side
    60,585.75x = 16,223,395,523.07
  5. Step 5: Solve for x
    x = 16,223,395,523.07/60,585.75
  6. Step 6: Final answer
    x = 267,775.76

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.