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Finding the Third Proportional to 57,228.19 and 84,187.69

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Solution

The third proportional to 57,228.19 and 84,187.69 is: 123,847.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,228.19 : 84,187.69 = 84,187.69 : x
  2. Step 2: Convert to fraction form
    57,228.19/84,187.69 = 84,187.69/x
  3. Step 3: Cross multiply
    57,228.19x = 84,187.69 × 84,187.69
  4. Step 4: Simplify right side
    57,228.19x = 7,087,566,726.60
  5. Step 5: Solve for x
    x = 7,087,566,726.60/57,228.19
  6. Step 6: Final answer
    x = 123,847.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.