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Finding the Third Proportional to 88,452 and 140,127

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Solution

The third proportional to 88,452 and 140,127 is: 221,991.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,452 : 140,127 = 140,127 : x
  2. Step 2: Convert to fraction form
    88,452/140,127 = 140,127/x
  3. Step 3: Cross multiply
    88,452x = 140,127 × 140,127
  4. Step 4: Simplify right side
    88,452x = 19,635,576,129
  5. Step 5: Solve for x
    x = 19,635,576,129/88,452
  6. Step 6: Final answer
    x = 221,991.32

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.