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Finding the Third Proportional to 42,407 and 88,301

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Solution

The third proportional to 42,407 and 88,301 is: 183,862.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,407 : 88,301 = 88,301 : x
  2. Step 2: Convert to fraction form
    42,407/88,301 = 88,301/x
  3. Step 3: Cross multiply
    42,407x = 88,301 × 88,301
  4. Step 4: Simplify right side
    42,407x = 7,797,066,601
  5. Step 5: Solve for x
    x = 7,797,066,601/42,407
  6. Step 6: Final answer
    x = 183,862.73

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.