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Finding the Third Proportional to 110,730 and 171,924

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Solution

The third proportional to 110,730 and 171,924 is: 266,936.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,730 : 171,924 = 171,924 : x
  2. Step 2: Convert to fraction form
    110,730/171,924 = 171,924/x
  3. Step 3: Cross multiply
    110,730x = 171,924 × 171,924
  4. Step 4: Simplify right side
    110,730x = 29,557,861,776
  5. Step 5: Solve for x
    x = 29,557,861,776/110,730
  6. Step 6: Final answer
    x = 266,936.35

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