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Finding the Third Proportional to 78,787.50 and 172,882.50

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Solution

The third proportional to 78,787.50 and 172,882.50 is: 379,354.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,787.50 : 172,882.50 = 172,882.50 : x
  2. Step 2: Convert to fraction form
    78,787.50/172,882.50 = 172,882.50/x
  3. Step 3: Cross multiply
    78,787.50x = 172,882.50 × 172,882.50
  4. Step 4: Simplify right side
    78,787.50x = 29,888,358,806.25
  5. Step 5: Solve for x
    x = 29,888,358,806.25/78,787.50
  6. Step 6: Final answer
    x = 379,354.07

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.