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Finding the Third Proportional to 69,069.38 and 101,337.75

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Solution

The third proportional to 69,069.38 and 101,337.75 is: 148,681.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,069.38 : 101,337.75 = 101,337.75 : x
  2. Step 2: Convert to fraction form
    69,069.38/101,337.75 = 101,337.75/x
  3. Step 3: Cross multiply
    69,069.38x = 101,337.75 × 101,337.75
  4. Step 4: Simplify right side
    69,069.38x = 10,269,339,575.06
  5. Step 5: Solve for x
    x = 10,269,339,575.06/69,069.38
  6. Step 6: Final answer
    x = 148,681.52

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.