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Finding the Third Proportional to 125,057.25 and 273,831.75

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Solution

The third proportional to 125,057.25 and 273,831.75 is: 599,596.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,057.25 : 273,831.75 = 273,831.75 : x
  2. Step 2: Convert to fraction form
    125,057.25/273,831.75 = 273,831.75/x
  3. Step 3: Cross multiply
    125,057.25x = 273,831.75 × 273,831.75
  4. Step 4: Simplify right side
    125,057.25x = 74,983,827,308.06
  5. Step 5: Solve for x
    x = 74,983,827,308.06/125,057.25
  6. Step 6: Final answer
    x = 599,596.00

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.