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Finding the Third Proportional to 77,617.50 and 167,691

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Solution

The third proportional to 77,617.50 and 167,691 is: 362,292.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,617.50 : 167,691 = 167,691 : x
  2. Step 2: Convert to fraction form
    77,617.50/167,691 = 167,691/x
  3. Step 3: Cross multiply
    77,617.50x = 167,691 × 167,691
  4. Step 4: Simplify right side
    77,617.50x = 28,120,271,481
  5. Step 5: Solve for x
    x = 28,120,271,481/77,617.50
  6. Step 6: Final answer
    x = 362,292.93

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