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Finding the Third Proportional to 57,368 and 123,525

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Solution

The third proportional to 57,368 and 123,525 is: 265,974.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,368 : 123,525 = 123,525 : x
  2. Step 2: Convert to fraction form
    57,368/123,525 = 123,525/x
  3. Step 3: Cross multiply
    57,368x = 123,525 × 123,525
  4. Step 4: Simplify right side
    57,368x = 15,258,425,625
  5. Step 5: Solve for x
    x = 15,258,425,625/57,368
  6. Step 6: Final answer
    x = 265,974.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.