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Finding the Third Proportional to 39,098 and 83,083

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Solution

The third proportional to 39,098 and 83,083 is: 176,550.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,098 : 83,083 = 83,083 : x
  2. Step 2: Convert to fraction form
    39,098/83,083 = 83,083/x
  3. Step 3: Cross multiply
    39,098x = 83,083 × 83,083
  4. Step 4: Simplify right side
    39,098x = 6,902,784,889
  5. Step 5: Solve for x
    x = 6,902,784,889/39,098
  6. Step 6: Final answer
    x = 176,550.84

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.