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Finding the Third Proportional to 83,929.13 and 171,735

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Solution

The third proportional to 83,929.13 and 171,735 is: 351,402.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,929.13 : 171,735 = 171,735 : x
  2. Step 2: Convert to fraction form
    83,929.13/171,735 = 171,735/x
  3. Step 3: Cross multiply
    83,929.13x = 171,735 × 171,735
  4. Step 4: Simplify right side
    83,929.13x = 29,492,910,225
  5. Step 5: Solve for x
    x = 29,492,910,225/83,929.13
  6. Step 6: Final answer
    x = 351,402.57

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.