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Finding the Third Proportional to 70,084 and 108,817

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Solution

The third proportional to 70,084 and 108,817 is: 168,956.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,084 : 108,817 = 108,817 : x
  2. Step 2: Convert to fraction form
    70,084/108,817 = 108,817/x
  3. Step 3: Cross multiply
    70,084x = 108,817 × 108,817
  4. Step 4: Simplify right side
    70,084x = 11,841,139,489
  5. Step 5: Solve for x
    x = 11,841,139,489/70,084
  6. Step 6: Final answer
    x = 168,956.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.