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Finding the Third Proportional to 58,338 and 88,041

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Solution

The third proportional to 58,338 and 88,041 is: 132,867.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,338 : 88,041 = 88,041 : x
  2. Step 2: Convert to fraction form
    58,338/88,041 = 88,041/x
  3. Step 3: Cross multiply
    58,338x = 88,041 × 88,041
  4. Step 4: Simplify right side
    58,338x = 7,751,217,681
  5. Step 5: Solve for x
    x = 7,751,217,681/58,338
  6. Step 6: Final answer
    x = 132,867.39

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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.