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Finding the Third Proportional to 69,292.97 and 148,427.44

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Solution

The third proportional to 69,292.97 and 148,427.44 is: 317,935.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,292.97 : 148,427.44 = 148,427.44 : x
  2. Step 2: Convert to fraction form
    69,292.97/148,427.44 = 148,427.44/x
  3. Step 3: Cross multiply
    69,292.97x = 148,427.44 × 148,427.44
  4. Step 4: Simplify right side
    69,292.97x = 22,030,704,202.82
  5. Step 5: Solve for x
    x = 22,030,704,202.82/69,292.97
  6. Step 6: Final answer
    x = 317,935.64

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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.