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Finding the Third Proportional to 61,354.50 and 131,449.50

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Solution

The third proportional to 61,354.50 and 131,449.50 is: 281,625.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,354.50 : 131,449.50 = 131,449.50 : x
  2. Step 2: Convert to fraction form
    61,354.50/131,449.50 = 131,449.50/x
  3. Step 3: Cross multiply
    61,354.50x = 131,449.50 × 131,449.50
  4. Step 4: Simplify right side
    61,354.50x = 17,278,971,050.25
  5. Step 5: Solve for x
    x = 17,278,971,050.25/61,354.50
  6. Step 6: Final answer
    x = 281,625.16

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.