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Finding the Third Proportional to 125,382 and 268,260

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Solution

The third proportional to 125,382 and 268,260 is: 573,953.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,382 : 268,260 = 268,260 : x
  2. Step 2: Convert to fraction form
    125,382/268,260 = 268,260/x
  3. Step 3: Cross multiply
    125,382x = 268,260 × 268,260
  4. Step 4: Simplify right side
    125,382x = 71,963,427,600
  5. Step 5: Solve for x
    x = 71,963,427,600/125,382
  6. Step 6: Final answer
    x = 573,953.42

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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.