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Finding the Third Proportional to 124,550 and 272,478

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Solution

The third proportional to 124,550 and 272,478 is: 596,100.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,550 : 272,478 = 272,478 : x
  2. Step 2: Convert to fraction form
    124,550/272,478 = 272,478/x
  3. Step 3: Cross multiply
    124,550x = 272,478 × 272,478
  4. Step 4: Simplify right side
    124,550x = 74,244,260,484
  5. Step 5: Solve for x
    x = 74,244,260,484/124,550
  6. Step 6: Final answer
    x = 596,100.04

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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.