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Finding the Third Proportional to 73,518 and 109,986

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Solution

The third proportional to 73,518 and 109,986 is: 164,543.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,518 : 109,986 = 109,986 : x
  2. Step 2: Convert to fraction form
    73,518/109,986 = 109,986/x
  3. Step 3: Cross multiply
    73,518x = 109,986 × 109,986
  4. Step 4: Simplify right side
    73,518x = 12,096,920,196
  5. Step 5: Solve for x
    x = 12,096,920,196/73,518
  6. Step 6: Final answer
    x = 164,543.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.