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Finding the Third Proportional to 127,942 and 270,645

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Solution

The third proportional to 127,942 and 270,645 is: 572,515.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,942 : 270,645 = 270,645 : x
  2. Step 2: Convert to fraction form
    127,942/270,645 = 270,645/x
  3. Step 3: Cross multiply
    127,942x = 270,645 × 270,645
  4. Step 4: Simplify right side
    127,942x = 73,248,716,025
  5. Step 5: Solve for x
    x = 73,248,716,025/127,942
  6. Step 6: Final answer
    x = 572,515.01

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.