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Finding the Third Proportional to 59,844 and 92,926

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Solution

The third proportional to 59,844 and 92,926 is: 144,295.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,844 : 92,926 = 92,926 : x
  2. Step 2: Convert to fraction form
    59,844/92,926 = 92,926/x
  3. Step 3: Cross multiply
    59,844x = 92,926 × 92,926
  4. Step 4: Simplify right side
    59,844x = 8,635,241,476
  5. Step 5: Solve for x
    x = 8,635,241,476/59,844
  6. Step 6: Final answer
    x = 144,295.86

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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.