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Finding the Third Proportional to 73,746 and 110,987

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Solution

The third proportional to 73,746 and 110,987 is: 167,034.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,746 : 110,987 = 110,987 : x
  2. Step 2: Convert to fraction form
    73,746/110,987 = 110,987/x
  3. Step 3: Cross multiply
    73,746x = 110,987 × 110,987
  4. Step 4: Simplify right side
    73,746x = 12,318,114,169
  5. Step 5: Solve for x
    x = 12,318,114,169/73,746
  6. Step 6: Final answer
    x = 167,034.34

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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.