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Finding the Third Proportional to 121,153.50 and 281,553.75

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Solution

The third proportional to 121,153.50 and 281,553.75 is: 654,314.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,153.50 : 281,553.75 = 281,553.75 : x
  2. Step 2: Convert to fraction form
    121,153.50/281,553.75 = 281,553.75/x
  3. Step 3: Cross multiply
    121,153.50x = 281,553.75 × 281,553.75
  4. Step 4: Simplify right side
    121,153.50x = 79,272,514,139.06
  5. Step 5: Solve for x
    x = 79,272,514,139.06/121,153.50
  6. Step 6: Final answer
    x = 654,314.68

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.