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Finding the Third Proportional to 83,780 and 110,116

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Solution

The third proportional to 83,780 and 110,116 is: 144,730.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,780 : 110,116 = 110,116 : x
  2. Step 2: Convert to fraction form
    83,780/110,116 = 110,116/x
  3. Step 3: Cross multiply
    83,780x = 110,116 × 110,116
  4. Step 4: Simplify right side
    83,780x = 12,125,533,456
  5. Step 5: Solve for x
    x = 12,125,533,456/83,780
  6. Step 6: Final answer
    x = 144,730.65

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.