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Finding the Third Proportional to 121,824 and 254,664

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Solution

The third proportional to 121,824 and 254,664 is: 532,356.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,824 : 254,664 = 254,664 : x
  2. Step 2: Convert to fraction form
    121,824/254,664 = 254,664/x
  3. Step 3: Cross multiply
    121,824x = 254,664 × 254,664
  4. Step 4: Simplify right side
    121,824x = 64,853,752,896
  5. Step 5: Solve for x
    x = 64,853,752,896/121,824
  6. Step 6: Final answer
    x = 532,356.13

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.