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Finding the Third Proportional to 60,290 and 132,868

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Solution

The third proportional to 60,290 and 132,868 is: 292,816.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,290 : 132,868 = 132,868 : x
  2. Step 2: Convert to fraction form
    60,290/132,868 = 132,868/x
  3. Step 3: Cross multiply
    60,290x = 132,868 × 132,868
  4. Step 4: Simplify right side
    60,290x = 17,653,905,424
  5. Step 5: Solve for x
    x = 17,653,905,424/60,290
  6. Step 6: Final answer
    x = 292,816.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.