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Finding the Third Proportional to 67,817 and 105,854

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Solution

The third proportional to 67,817 and 105,854 is: 165,225.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,817 : 105,854 = 105,854 : x
  2. Step 2: Convert to fraction form
    67,817/105,854 = 105,854/x
  3. Step 3: Cross multiply
    67,817x = 105,854 × 105,854
  4. Step 4: Simplify right side
    67,817x = 11,205,069,316
  5. Step 5: Solve for x
    x = 11,205,069,316/67,817
  6. Step 6: Final answer
    x = 165,225.08

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.