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Finding the Third Proportional to 55,890 and 119,778

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Solution

The third proportional to 55,890 and 119,778 is: 256,696.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,890 : 119,778 = 119,778 : x
  2. Step 2: Convert to fraction form
    55,890/119,778 = 119,778/x
  3. Step 3: Cross multiply
    55,890x = 119,778 × 119,778
  4. Step 4: Simplify right side
    55,890x = 14,346,769,284
  5. Step 5: Solve for x
    x = 14,346,769,284/55,890
  6. Step 6: Final answer
    x = 256,696.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.