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Finding the Third Proportional to 73,800 and 110,776

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Solution

The third proportional to 73,800 and 110,776 is: 166,278.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,800 : 110,776 = 110,776 : x
  2. Step 2: Convert to fraction form
    73,800/110,776 = 110,776/x
  3. Step 3: Cross multiply
    73,800x = 110,776 × 110,776
  4. Step 4: Simplify right side
    73,800x = 12,271,322,176
  5. Step 5: Solve for x
    x = 12,271,322,176/73,800
  6. Step 6: Final answer
    x = 166,278.08

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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.