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Finding the Third Proportional to 125,302.13 and 270,165.75

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Solution

The third proportional to 125,302.13 and 270,165.75 is: 582,508.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,302.13 : 270,165.75 = 270,165.75 : x
  2. Step 2: Convert to fraction form
    125,302.13/270,165.75 = 270,165.75/x
  3. Step 3: Cross multiply
    125,302.13x = 270,165.75 × 270,165.75
  4. Step 4: Simplify right side
    125,302.13x = 72,989,532,473.06
  5. Step 5: Solve for x
    x = 72,989,532,473.06/125,302.13
  6. Step 6: Final answer
    x = 582,508.34

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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.