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Finding the Third Proportional to 127,768 and 271,926

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Solution

The third proportional to 127,768 and 271,926 is: 578,734.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,768 : 271,926 = 271,926 : x
  2. Step 2: Convert to fraction form
    127,768/271,926 = 271,926/x
  3. Step 3: Cross multiply
    127,768x = 271,926 × 271,926
  4. Step 4: Simplify right side
    127,768x = 73,943,749,476
  5. Step 5: Solve for x
    x = 73,943,749,476/127,768
  6. Step 6: Final answer
    x = 578,734.50

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.