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Finding the Third Proportional to 125,664.75 and 273,488.06

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Solution

The third proportional to 125,664.75 and 273,488.06 is: 595,200.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,664.75 : 273,488.06 = 273,488.06 : x
  2. Step 2: Convert to fraction form
    125,664.75/273,488.06 = 273,488.06/x
  3. Step 3: Cross multiply
    125,664.75x = 273,488.06 × 273,488.06
  4. Step 4: Simplify right side
    125,664.75x = 74,795,720,330.00
  5. Step 5: Solve for x
    x = 74,795,720,330.00/125,664.75
  6. Step 6: Final answer
    x = 595,200.49

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.