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Finding the Third Proportional to 82,268 and 124,414

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Solution

The third proportional to 82,268 and 124,414 is: 188,151.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,268 : 124,414 = 124,414 : x
  2. Step 2: Convert to fraction form
    82,268/124,414 = 124,414/x
  3. Step 3: Cross multiply
    82,268x = 124,414 × 124,414
  4. Step 4: Simplify right side
    82,268x = 15,478,843,396
  5. Step 5: Solve for x
    x = 15,478,843,396/82,268
  6. Step 6: Final answer
    x = 188,151.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.