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Finding the Third Proportional to 62,886 and 134,778

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Solution

The third proportional to 62,886 and 134,778 is: 288,857.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,886 : 134,778 = 134,778 : x
  2. Step 2: Convert to fraction form
    62,886/134,778 = 134,778/x
  3. Step 3: Cross multiply
    62,886x = 134,778 × 134,778
  4. Step 4: Simplify right side
    62,886x = 18,165,109,284
  5. Step 5: Solve for x
    x = 18,165,109,284/62,886
  6. Step 6: Final answer
    x = 288,857.76

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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.