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Finding the Third Proportional to 57,206 and 88,577

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Solution

The third proportional to 57,206 and 88,577 is: 137,151.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,206 : 88,577 = 88,577 : x
  2. Step 2: Convert to fraction form
    57,206/88,577 = 88,577/x
  3. Step 3: Cross multiply
    57,206x = 88,577 × 88,577
  4. Step 4: Simplify right side
    57,206x = 7,845,884,929
  5. Step 5: Solve for x
    x = 7,845,884,929/57,206
  6. Step 6: Final answer
    x = 137,151.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.