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Finding the Third Proportional to 126,289.13 and 270,088.88

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Solution

The third proportional to 126,289.13 and 270,088.88 is: 577,626.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,289.13 : 270,088.88 = 270,088.88 : x
  2. Step 2: Convert to fraction form
    126,289.13/270,088.88 = 270,088.88/x
  3. Step 3: Cross multiply
    126,289.13x = 270,088.88 × 270,088.88
  4. Step 4: Simplify right side
    126,289.13x = 72,948,000,398.77
  5. Step 5: Solve for x
    x = 72,948,000,398.77/126,289.13
  6. Step 6: Final answer
    x = 577,626.94

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.