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Finding the Third Proportional to 70,788 and 108,654

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Solution

The third proportional to 70,788 and 108,654 is: 166,775.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,788 : 108,654 = 108,654 : x
  2. Step 2: Convert to fraction form
    70,788/108,654 = 108,654/x
  3. Step 3: Cross multiply
    70,788x = 108,654 × 108,654
  4. Step 4: Simplify right side
    70,788x = 11,805,691,716
  5. Step 5: Solve for x
    x = 11,805,691,716/70,788
  6. Step 6: Final answer
    x = 166,775.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.