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Finding the Third Proportional to 55,783.69 and 84,984.19

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Solution

The third proportional to 55,783.69 and 84,984.19 is: 129,469.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,783.69 : 84,984.19 = 84,984.19 : x
  2. Step 2: Convert to fraction form
    55,783.69/84,984.19 = 84,984.19/x
  3. Step 3: Cross multiply
    55,783.69x = 84,984.19 × 84,984.19
  4. Step 4: Simplify right side
    55,783.69x = 7,222,312,125.04
  5. Step 5: Solve for x
    x = 7,222,312,125.04/55,783.69
  6. Step 6: Final answer
    x = 129,469.97

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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.