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Finding the Third Proportional to 55,769.45 and 83,778.05

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Solution

The third proportional to 55,769.45 and 83,778.05 is: 125,853.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,769.45 : 83,778.05 = 83,778.05 : x
  2. Step 2: Convert to fraction form
    55,769.45/83,778.05 = 83,778.05/x
  3. Step 3: Cross multiply
    55,769.45x = 83,778.05 × 83,778.05
  4. Step 4: Simplify right side
    55,769.45x = 7,018,761,138.19
  5. Step 5: Solve for x
    x = 7,018,761,138.19/55,769.45
  6. Step 6: Final answer
    x = 125,853.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.