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Finding the Third Proportional to 67,551 and 148,074

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Solution

The third proportional to 67,551 and 148,074 is: 324,583.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,551 : 148,074 = 148,074 : x
  2. Step 2: Convert to fraction form
    67,551/148,074 = 148,074/x
  3. Step 3: Cross multiply
    67,551x = 148,074 × 148,074
  4. Step 4: Simplify right side
    67,551x = 21,925,909,476
  5. Step 5: Solve for x
    x = 21,925,909,476/67,551
  6. Step 6: Final answer
    x = 324,583.05

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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.