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Finding the Third Proportional to 68,200.31 and 148,064.63

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Solution

The third proportional to 68,200.31 and 148,064.63 is: 321,452.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,200.31 : 148,064.63 = 148,064.63 : x
  2. Step 2: Convert to fraction form
    68,200.31/148,064.63 = 148,064.63/x
  3. Step 3: Cross multiply
    68,200.31x = 148,064.63 × 148,064.63
  4. Step 4: Simplify right side
    68,200.31x = 21,923,133,176.39
  5. Step 5: Solve for x
    x = 21,923,133,176.39/68,200.31
  6. Step 6: Final answer
    x = 321,452.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.