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Finding the Third Proportional to 58,806 and 88,734

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Solution

The third proportional to 58,806 and 88,734 is: 133,893.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,806 : 88,734 = 88,734 : x
  2. Step 2: Convert to fraction form
    58,806/88,734 = 88,734/x
  3. Step 3: Cross multiply
    58,806x = 88,734 × 88,734
  4. Step 4: Simplify right side
    58,806x = 7,873,722,756
  5. Step 5: Solve for x
    x = 7,873,722,756/58,806
  6. Step 6: Final answer
    x = 133,893.19

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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.