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Finding the Third Proportional to 45,980.16 and 71,221.78

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Solution

The third proportional to 45,980.16 and 71,221.78 is: 110,320.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,980.16 : 71,221.78 = 71,221.78 : x
  2. Step 2: Convert to fraction form
    45,980.16/71,221.78 = 71,221.78/x
  3. Step 3: Cross multiply
    45,980.16x = 71,221.78 × 71,221.78
  4. Step 4: Simplify right side
    45,980.16x = 5,072,542,124.42
  5. Step 5: Solve for x
    x = 5,072,542,124.42/45,980.16
  6. Step 6: Final answer
    x = 110,320.25

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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.