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Finding the Third Proportional to 67,997.76 and 148,182.06

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Solution

The third proportional to 67,997.76 and 148,182.06 is: 322,921.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,997.76 : 148,182.06 = 148,182.06 : x
  2. Step 2: Convert to fraction form
    67,997.76/148,182.06 = 148,182.06/x
  3. Step 3: Cross multiply
    67,997.76x = 148,182.06 × 148,182.06
  4. Step 4: Simplify right side
    67,997.76x = 21,957,924,225.59
  5. Step 5: Solve for x
    x = 21,957,924,225.59/67,997.76
  6. Step 6: Final answer
    x = 322,921.29

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.