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Finding the Third Proportional to 77,568.75 and 167,515.50

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Solution

The third proportional to 77,568.75 and 167,515.50 is: 361,762.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,568.75 : 167,515.50 = 167,515.50 : x
  2. Step 2: Convert to fraction form
    77,568.75/167,515.50 = 167,515.50/x
  3. Step 3: Cross multiply
    77,568.75x = 167,515.50 × 167,515.50
  4. Step 4: Simplify right side
    77,568.75x = 28,061,442,740.25
  5. Step 5: Solve for x
    x = 28,061,442,740.25/77,568.75
  6. Step 6: Final answer
    x = 361,762.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.