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Finding the Third Proportional to 98,553 and 151,691

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Solution

The third proportional to 98,553 and 151,691 is: 233,480.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,553 : 151,691 = 151,691 : x
  2. Step 2: Convert to fraction form
    98,553/151,691 = 151,691/x
  3. Step 3: Cross multiply
    98,553x = 151,691 × 151,691
  4. Step 4: Simplify right side
    98,553x = 23,010,159,481
  5. Step 5: Solve for x
    x = 23,010,159,481/98,553
  6. Step 6: Final answer
    x = 233,480.05

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