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Finding the Third Proportional to 109,926 and 164,817

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Solution

The third proportional to 109,926 and 164,817 is: 247,117.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,926 : 164,817 = 164,817 : x
  2. Step 2: Convert to fraction form
    109,926/164,817 = 164,817/x
  3. Step 3: Cross multiply
    109,926x = 164,817 × 164,817
  4. Step 4: Simplify right side
    109,926x = 27,164,643,489
  5. Step 5: Solve for x
    x = 27,164,643,489/109,926
  6. Step 6: Final answer
    x = 247,117.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.