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Finding the Third Proportional to 125,824 and 272,640

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Solution

The third proportional to 125,824 and 272,640 is: 590,766.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,824 : 272,640 = 272,640 : x
  2. Step 2: Convert to fraction form
    125,824/272,640 = 272,640/x
  3. Step 3: Cross multiply
    125,824x = 272,640 × 272,640
  4. Step 4: Simplify right side
    125,824x = 74,332,569,600
  5. Step 5: Solve for x
    x = 74,332,569,600/125,824
  6. Step 6: Final answer
    x = 590,766.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.