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Finding the Third Proportional to 82,525 and 124,577

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Solution

The third proportional to 82,525 and 124,577 is: 188,057.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,525 : 124,577 = 124,577 : x
  2. Step 2: Convert to fraction form
    82,525/124,577 = 124,577/x
  3. Step 3: Cross multiply
    82,525x = 124,577 × 124,577
  4. Step 4: Simplify right side
    82,525x = 15,519,428,929
  5. Step 5: Solve for x
    x = 15,519,428,929/82,525
  6. Step 6: Final answer
    x = 188,057.30

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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.