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Finding the Third Proportional to 55,961 and 86,778

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Solution

The third proportional to 55,961 and 86,778 is: 134,565.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,961 : 86,778 = 86,778 : x
  2. Step 2: Convert to fraction form
    55,961/86,778 = 86,778/x
  3. Step 3: Cross multiply
    55,961x = 86,778 × 86,778
  4. Step 4: Simplify right side
    55,961x = 7,530,421,284
  5. Step 5: Solve for x
    x = 7,530,421,284/55,961
  6. Step 6: Final answer
    x = 134,565.52

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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.