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Finding the Third Proportional to 60,686 and 132,023

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Solution

The third proportional to 60,686 and 132,023 is: 287,217.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,686 : 132,023 = 132,023 : x
  2. Step 2: Convert to fraction form
    60,686/132,023 = 132,023/x
  3. Step 3: Cross multiply
    60,686x = 132,023 × 132,023
  4. Step 4: Simplify right side
    60,686x = 17,430,072,529
  5. Step 5: Solve for x
    x = 17,430,072,529/60,686
  6. Step 6: Final answer
    x = 287,217.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.