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Finding the Third Proportional to 62,278.24 and 132,860.25

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Solution

The third proportional to 62,278.24 and 132,860.25 is: 283,435.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,278.24 : 132,860.25 = 132,860.25 : x
  2. Step 2: Convert to fraction form
    62,278.24/132,860.25 = 132,860.25/x
  3. Step 3: Cross multiply
    62,278.24x = 132,860.25 × 132,860.25
  4. Step 4: Simplify right side
    62,278.24x = 17,651,846,030.06
  5. Step 5: Solve for x
    x = 17,651,846,030.06/62,278.24
  6. Step 6: Final answer
    x = 283,435.20

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.