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Finding the Third Proportional to 99,253 and 153,725

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Solution

The third proportional to 99,253 and 153,725 is: 238,092.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,253 : 153,725 = 153,725 : x
  2. Step 2: Convert to fraction form
    99,253/153,725 = 153,725/x
  3. Step 3: Cross multiply
    99,253x = 153,725 × 153,725
  4. Step 4: Simplify right side
    99,253x = 23,631,375,625
  5. Step 5: Solve for x
    x = 23,631,375,625/99,253
  6. Step 6: Final answer
    x = 238,092.31

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.