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Finding the Third Proportional to 68,761 and 148,778

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Solution

The third proportional to 68,761 and 148,778 is: 321,910.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,761 : 148,778 = 148,778 : x
  2. Step 2: Convert to fraction form
    68,761/148,778 = 148,778/x
  3. Step 3: Cross multiply
    68,761x = 148,778 × 148,778
  4. Step 4: Simplify right side
    68,761x = 22,134,893,284
  5. Step 5: Solve for x
    x = 22,134,893,284/68,761
  6. Step 6: Final answer
    x = 321,910.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.