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Finding the Third Proportional to 124,944 and 254,508

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Solution

The third proportional to 124,944 and 254,508 is: 518,426.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,944 : 254,508 = 254,508 : x
  2. Step 2: Convert to fraction form
    124,944/254,508 = 254,508/x
  3. Step 3: Cross multiply
    124,944x = 254,508 × 254,508
  4. Step 4: Simplify right side
    124,944x = 64,774,322,064
  5. Step 5: Solve for x
    x = 64,774,322,064/124,944
  6. Step 6: Final answer
    x = 518,426.83

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.