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Finding the Third Proportional to 67,729 and 148,035

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Solution

The third proportional to 67,729 and 148,035 is: 323,559.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,729 : 148,035 = 148,035 : x
  2. Step 2: Convert to fraction form
    67,729/148,035 = 148,035/x
  3. Step 3: Cross multiply
    67,729x = 148,035 × 148,035
  4. Step 4: Simplify right side
    67,729x = 21,914,361,225
  5. Step 5: Solve for x
    x = 21,914,361,225/67,729
  6. Step 6: Final answer
    x = 323,559.50

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Why These Related Problems?

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