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Finding the Third Proportional to 67,926 and 93,855

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Solution

The third proportional to 67,926 and 93,855 is: 129,681.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,926 : 93,855 = 93,855 : x
  2. Step 2: Convert to fraction form
    67,926/93,855 = 93,855/x
  3. Step 3: Cross multiply
    67,926x = 93,855 × 93,855
  4. Step 4: Simplify right side
    67,926x = 8,808,761,025
  5. Step 5: Solve for x
    x = 8,808,761,025/67,926
  6. Step 6: Final answer
    x = 129,681.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.