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Finding the Third Proportional to 83,121.75 and 172,156.50

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Solution

The third proportional to 83,121.75 and 172,156.50 is: 356,559.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,121.75 : 172,156.50 = 172,156.50 : x
  2. Step 2: Convert to fraction form
    83,121.75/172,156.50 = 172,156.50/x
  3. Step 3: Cross multiply
    83,121.75x = 172,156.50 × 172,156.50
  4. Step 4: Simplify right side
    83,121.75x = 29,637,860,492.25
  5. Step 5: Solve for x
    x = 29,637,860,492.25/83,121.75
  6. Step 6: Final answer
    x = 356,559.63

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.