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Finding the Third Proportional to 99,938 and 153,766

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Solution

The third proportional to 99,938 and 153,766 is: 236,586.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,938 : 153,766 = 153,766 : x
  2. Step 2: Convert to fraction form
    99,938/153,766 = 153,766/x
  3. Step 3: Cross multiply
    99,938x = 153,766 × 153,766
  4. Step 4: Simplify right side
    99,938x = 23,643,982,756
  5. Step 5: Solve for x
    x = 23,643,982,756/99,938
  6. Step 6: Final answer
    x = 236,586.51

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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.