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Finding the Third Proportional to 70,280 and 111,677

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Solution

The third proportional to 70,280 and 111,677 is: 177,458.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,280 : 111,677 = 111,677 : x
  2. Step 2: Convert to fraction form
    70,280/111,677 = 111,677/x
  3. Step 3: Cross multiply
    70,280x = 111,677 × 111,677
  4. Step 4: Simplify right side
    70,280x = 12,471,752,329
  5. Step 5: Solve for x
    x = 12,471,752,329/70,280
  6. Step 6: Final answer
    x = 177,458.06

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.