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Finding the Third Proportional to 125,129.81 and 269,945.16

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Solution

The third proportional to 125,129.81 and 269,945.16 is: 582,358.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,129.81 : 269,945.16 = 269,945.16 : x
  2. Step 2: Convert to fraction form
    125,129.81/269,945.16 = 269,945.16/x
  3. Step 3: Cross multiply
    125,129.81x = 269,945.16 × 269,945.16
  4. Step 4: Simplify right side
    125,129.81x = 72,870,387,382.84
  5. Step 5: Solve for x
    x = 72,870,387,382.84/125,129.81
  6. Step 6: Final answer
    x = 582,358.32

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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.