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Finding the Third Proportional to 39,103 and 83,740

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Solution

The third proportional to 39,103 and 83,740 is: 179,331.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,103 : 83,740 = 83,740 : x
  2. Step 2: Convert to fraction form
    39,103/83,740 = 83,740/x
  3. Step 3: Cross multiply
    39,103x = 83,740 × 83,740
  4. Step 4: Simplify right side
    39,103x = 7,012,387,600
  5. Step 5: Solve for x
    x = 7,012,387,600/39,103
  6. Step 6: Final answer
    x = 179,331.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.