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Finding the Third Proportional to 71,406.84 and 110,700.56

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Solution

The third proportional to 71,406.84 and 110,700.56 is: 171,616.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,406.84 : 110,700.56 = 110,700.56 : x
  2. Step 2: Convert to fraction form
    71,406.84/110,700.56 = 110,700.56/x
  3. Step 3: Cross multiply
    71,406.84x = 110,700.56 × 110,700.56
  4. Step 4: Simplify right side
    71,406.84x = 12,254,614,537.82
  5. Step 5: Solve for x
    x = 12,254,614,537.82/71,406.84
  6. Step 6: Final answer
    x = 171,616.81

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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.