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Finding the Third Proportional to 88,132 and 141,873

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Solution

The third proportional to 88,132 and 141,873 is: 228,384.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,132 : 141,873 = 141,873 : x
  2. Step 2: Convert to fraction form
    88,132/141,873 = 141,873/x
  3. Step 3: Cross multiply
    88,132x = 141,873 × 141,873
  4. Step 4: Simplify right side
    88,132x = 20,127,948,129
  5. Step 5: Solve for x
    x = 20,127,948,129/88,132
  6. Step 6: Final answer
    x = 228,384.11

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.