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Finding the Third Proportional to 69,532.17 and 148,902.05

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Solution

The third proportional to 69,532.17 and 148,902.05 is: 318,871.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,532.17 : 148,902.05 = 148,902.05 : x
  2. Step 2: Convert to fraction form
    69,532.17/148,902.05 = 148,902.05/x
  3. Step 3: Cross multiply
    69,532.17x = 148,902.05 × 148,902.05
  4. Step 4: Simplify right side
    69,532.17x = 22,171,819,563.56
  5. Step 5: Solve for x
    x = 22,171,819,563.56/69,532.17
  6. Step 6: Final answer
    x = 318,871.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.