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Finding the Third Proportional to 54,377 and 83,190

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Solution

The third proportional to 54,377 and 83,190 is: 127,270.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,377 : 83,190 = 83,190 : x
  2. Step 2: Convert to fraction form
    54,377/83,190 = 83,190/x
  3. Step 3: Cross multiply
    54,377x = 83,190 × 83,190
  4. Step 4: Simplify right side
    54,377x = 6,920,576,100
  5. Step 5: Solve for x
    x = 6,920,576,100/54,377
  6. Step 6: Final answer
    x = 127,270.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.