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Finding the Third Proportional to 77,868.50 and 167,583

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Solution

The third proportional to 77,868.50 and 167,583 is: 360,660.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,868.50 : 167,583 = 167,583 : x
  2. Step 2: Convert to fraction form
    77,868.50/167,583 = 167,583/x
  3. Step 3: Cross multiply
    77,868.50x = 167,583 × 167,583
  4. Step 4: Simplify right side
    77,868.50x = 28,084,061,889
  5. Step 5: Solve for x
    x = 28,084,061,889/77,868.50
  6. Step 6: Final answer
    x = 360,660.11

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.