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Finding the Third Proportional to 124,721 and 272,732

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Solution

The third proportional to 124,721 and 272,732 is: 596,393.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,721 : 272,732 = 272,732 : x
  2. Step 2: Convert to fraction form
    124,721/272,732 = 272,732/x
  3. Step 3: Cross multiply
    124,721x = 272,732 × 272,732
  4. Step 4: Simplify right side
    124,721x = 74,382,743,824
  5. Step 5: Solve for x
    x = 74,382,743,824/124,721
  6. Step 6: Final answer
    x = 596,393.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.