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Finding the Third Proportional to 53,178.19 and 82,331.44

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Solution

The third proportional to 53,178.19 and 82,331.44 is: 127,467.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,178.19 : 82,331.44 = 82,331.44 : x
  2. Step 2: Convert to fraction form
    53,178.19/82,331.44 = 82,331.44/x
  3. Step 3: Cross multiply
    53,178.19x = 82,331.44 × 82,331.44
  4. Step 4: Simplify right side
    53,178.19x = 6,778,465,600.82
  5. Step 5: Solve for x
    x = 6,778,465,600.82/53,178.19
  6. Step 6: Final answer
    x = 127,467.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.