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Finding the Third Proportional to 55,778.63 and 84,975.33

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Solution

The third proportional to 55,778.63 and 84,975.33 is: 129,454.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,778.63 : 84,975.33 = 84,975.33 : x
  2. Step 2: Convert to fraction form
    55,778.63/84,975.33 = 84,975.33/x
  3. Step 3: Cross multiply
    55,778.63x = 84,975.33 × 84,975.33
  4. Step 4: Simplify right side
    55,778.63x = 7,220,806,389.95
  5. Step 5: Solve for x
    x = 7,220,806,389.95/55,778.63
  6. Step 6: Final answer
    x = 129,454.72

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.