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Finding the Third Proportional to 59,442 and 132,006

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Solution

The third proportional to 59,442 and 132,006 is: 293,152.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,442 : 132,006 = 132,006 : x
  2. Step 2: Convert to fraction form
    59,442/132,006 = 132,006/x
  3. Step 3: Cross multiply
    59,442x = 132,006 × 132,006
  4. Step 4: Simplify right side
    59,442x = 17,425,584,036
  5. Step 5: Solve for x
    x = 17,425,584,036/59,442
  6. Step 6: Final answer
    x = 293,152.72

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.