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Finding the Third Proportional to 127,644 and 272,664

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Solution

The third proportional to 127,644 and 272,664 is: 582,445.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,644 : 272,664 = 272,664 : x
  2. Step 2: Convert to fraction form
    127,644/272,664 = 272,664/x
  3. Step 3: Cross multiply
    127,644x = 272,664 × 272,664
  4. Step 4: Simplify right side
    127,644x = 74,345,656,896
  5. Step 5: Solve for x
    x = 74,345,656,896/127,644
  6. Step 6: Final answer
    x = 582,445.37

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Why These Related Problems?

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