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Finding the Third Proportional to 55,730.25 and 120,550.13

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Solution

The third proportional to 55,730.25 and 120,550.13 is: 260,762.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,730.25 : 120,550.13 = 120,550.13 : x
  2. Step 2: Convert to fraction form
    55,730.25/120,550.13 = 120,550.13/x
  3. Step 3: Cross multiply
    55,730.25x = 120,550.13 × 120,550.13
  4. Step 4: Simplify right side
    55,730.25x = 14,532,332,637.52
  5. Step 5: Solve for x
    x = 14,532,332,637.52/55,730.25
  6. Step 6: Final answer
    x = 260,762.02

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.