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Finding the Third Proportional to 98,412 and 152,802

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Solution

The third proportional to 98,412 and 152,802 is: 237,252.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,412 : 152,802 = 152,802 : x
  2. Step 2: Convert to fraction form
    98,412/152,802 = 152,802/x
  3. Step 3: Cross multiply
    98,412x = 152,802 × 152,802
  4. Step 4: Simplify right side
    98,412x = 23,348,451,204
  5. Step 5: Solve for x
    x = 23,348,451,204/98,412
  6. Step 6: Final answer
    x = 237,252.07

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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.