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Finding the Third Proportional to 59,460 and 132,042

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Solution

The third proportional to 59,460 and 132,042 is: 293,223.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,460 : 132,042 = 132,042 : x
  2. Step 2: Convert to fraction form
    59,460/132,042 = 132,042/x
  3. Step 3: Cross multiply
    59,460x = 132,042 × 132,042
  4. Step 4: Simplify right side
    59,460x = 17,435,089,764
  5. Step 5: Solve for x
    x = 17,435,089,764/59,460
  6. Step 6: Final answer
    x = 293,223.84

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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.