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Finding the Third Proportional to 98,418 and 152,812

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Solution

The third proportional to 98,418 and 152,812 is: 237,268.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,418 : 152,812 = 152,812 : x
  2. Step 2: Convert to fraction form
    98,418/152,812 = 152,812/x
  3. Step 3: Cross multiply
    98,418x = 152,812 × 152,812
  4. Step 4: Simplify right side
    98,418x = 23,351,507,344
  5. Step 5: Solve for x
    x = 23,351,507,344/98,418
  6. Step 6: Final answer
    x = 237,268.66

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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.