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Finding the Third Proportional to 84,153 and 123,735

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Solution

The third proportional to 84,153 and 123,735 is: 181,934.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,153 : 123,735 = 123,735 : x
  2. Step 2: Convert to fraction form
    84,153/123,735 = 123,735/x
  3. Step 3: Cross multiply
    84,153x = 123,735 × 123,735
  4. Step 4: Simplify right side
    84,153x = 15,310,350,225
  5. Step 5: Solve for x
    x = 15,310,350,225/84,153
  6. Step 6: Final answer
    x = 181,934.69

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.