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Finding the Third Proportional to 124,881.75 and 260,131.50

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Solution

The third proportional to 124,881.75 and 260,131.50 is: 541,859.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,881.75 : 260,131.50 = 260,131.50 : x
  2. Step 2: Convert to fraction form
    124,881.75/260,131.50 = 260,131.50/x
  3. Step 3: Cross multiply
    124,881.75x = 260,131.50 × 260,131.50
  4. Step 4: Simplify right side
    124,881.75x = 67,668,397,292.25
  5. Step 5: Solve for x
    x = 67,668,397,292.25/124,881.75
  6. Step 6: Final answer
    x = 541,859.78

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.