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Finding the Third Proportional to 39,123 and 83,106

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Solution

The third proportional to 39,123 and 83,106 is: 176,535.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,123 : 83,106 = 83,106 : x
  2. Step 2: Convert to fraction form
    39,123/83,106 = 83,106/x
  3. Step 3: Cross multiply
    39,123x = 83,106 × 83,106
  4. Step 4: Simplify right side
    39,123x = 6,906,607,236
  5. Step 5: Solve for x
    x = 6,906,607,236/39,123
  6. Step 6: Final answer
    x = 176,535.73

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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.