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Finding the Third Proportional to 45,399 and 79,945.50

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Solution

The third proportional to 45,399 and 79,945.50 is: 140,780.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,399 : 79,945.50 = 79,945.50 : x
  2. Step 2: Convert to fraction form
    45,399/79,945.50 = 79,945.50/x
  3. Step 3: Cross multiply
    45,399x = 79,945.50 × 79,945.50
  4. Step 4: Simplify right side
    45,399x = 6,391,282,970.25
  5. Step 5: Solve for x
    x = 6,391,282,970.25/45,399
  6. Step 6: Final answer
    x = 140,780.26

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These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.