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Finding the Third Proportional to 127,742 and 268,713

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Solution

The third proportional to 127,742 and 268,713 is: 565,254.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,742 : 268,713 = 268,713 : x
  2. Step 2: Convert to fraction form
    127,742/268,713 = 268,713/x
  3. Step 3: Cross multiply
    127,742x = 268,713 × 268,713
  4. Step 4: Simplify right side
    127,742x = 72,206,676,369
  5. Step 5: Solve for x
    x = 72,206,676,369/127,742
  6. Step 6: Final answer
    x = 565,254.00

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.