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Finding the Third Proportional to 67,621 and 105,118

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Solution

The third proportional to 67,621 and 105,118 is: 163,407.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,621 : 105,118 = 105,118 : x
  2. Step 2: Convert to fraction form
    67,621/105,118 = 105,118/x
  3. Step 3: Cross multiply
    67,621x = 105,118 × 105,118
  4. Step 4: Simplify right side
    67,621x = 11,049,793,924
  5. Step 5: Solve for x
    x = 11,049,793,924/67,621
  6. Step 6: Final answer
    x = 163,407.73

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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.