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Finding the Third Proportional to 124,967.25 and 268,402.50

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Solution

The third proportional to 124,967.25 and 268,402.50 is: 576,470.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,967.25 : 268,402.50 = 268,402.50 : x
  2. Step 2: Convert to fraction form
    124,967.25/268,402.50 = 268,402.50/x
  3. Step 3: Cross multiply
    124,967.25x = 268,402.50 × 268,402.50
  4. Step 4: Simplify right side
    124,967.25x = 72,039,902,006.25
  5. Step 5: Solve for x
    x = 72,039,902,006.25/124,967.25
  6. Step 6: Final answer
    x = 576,470.25

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.