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Finding the Third Proportional to 99,872 and 151,853

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Solution

The third proportional to 99,872 and 151,853 is: 230,888.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,872 : 151,853 = 151,853 : x
  2. Step 2: Convert to fraction form
    99,872/151,853 = 151,853/x
  3. Step 3: Cross multiply
    99,872x = 151,853 × 151,853
  4. Step 4: Simplify right side
    99,872x = 23,059,333,609
  5. Step 5: Solve for x
    x = 23,059,333,609/99,872
  6. Step 6: Final answer
    x = 230,888.87

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.