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Finding the Third Proportional to 69,914 and 150,952

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Solution

The third proportional to 69,914 and 150,952 is: 325,921.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,914 : 150,952 = 150,952 : x
  2. Step 2: Convert to fraction form
    69,914/150,952 = 150,952/x
  3. Step 3: Cross multiply
    69,914x = 150,952 × 150,952
  4. Step 4: Simplify right side
    69,914x = 22,786,506,304
  5. Step 5: Solve for x
    x = 22,786,506,304/69,914
  6. Step 6: Final answer
    x = 325,921.94

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.