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Finding the Third Proportional to 124,826 and 267,148

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Solution

The third proportional to 124,826 and 267,148 is: 571,740.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,826 : 267,148 = 267,148 : x
  2. Step 2: Convert to fraction form
    124,826/267,148 = 267,148/x
  3. Step 3: Cross multiply
    124,826x = 267,148 × 267,148
  4. Step 4: Simplify right side
    124,826x = 71,368,053,904
  5. Step 5: Solve for x
    x = 71,368,053,904/124,826
  6. Step 6: Final answer
    x = 571,740.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.