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Finding the Third Proportional to 99,938 and 153,767

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Solution

The third proportional to 99,938 and 153,767 is: 236,589.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,938 : 153,767 = 153,767 : x
  2. Step 2: Convert to fraction form
    99,938/153,767 = 153,767/x
  3. Step 3: Cross multiply
    99,938x = 153,767 × 153,767
  4. Step 4: Simplify right side
    99,938x = 23,644,290,289
  5. Step 5: Solve for x
    x = 23,644,290,289/99,938
  6. Step 6: Final answer
    x = 236,589.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.