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Finding the Third Proportional to 52,692 and 124,386

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Solution

The third proportional to 52,692 and 124,386 is: 293,628.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,692 : 124,386 = 124,386 : x
  2. Step 2: Convert to fraction form
    52,692/124,386 = 124,386/x
  3. Step 3: Cross multiply
    52,692x = 124,386 × 124,386
  4. Step 4: Simplify right side
    52,692x = 15,471,876,996
  5. Step 5: Solve for x
    x = 15,471,876,996/52,692
  6. Step 6: Final answer
    x = 293,628.58

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.