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Finding the Third Proportional to 127,948 and 270,660

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Solution

The third proportional to 127,948 and 270,660 is: 572,551.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,948 : 270,660 = 270,660 : x
  2. Step 2: Convert to fraction form
    127,948/270,660 = 270,660/x
  3. Step 3: Cross multiply
    127,948x = 270,660 × 270,660
  4. Step 4: Simplify right side
    127,948x = 73,256,835,600
  5. Step 5: Solve for x
    x = 73,256,835,600/127,948
  6. Step 6: Final answer
    x = 572,551.63

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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.