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Finding the Third Proportional to 69,554 and 101,415

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Solution

The third proportional to 69,554 and 101,415 is: 147,870.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,554 : 101,415 = 101,415 : x
  2. Step 2: Convert to fraction form
    69,554/101,415 = 101,415/x
  3. Step 3: Cross multiply
    69,554x = 101,415 × 101,415
  4. Step 4: Simplify right side
    69,554x = 10,285,002,225
  5. Step 5: Solve for x
    x = 10,285,002,225/69,554
  6. Step 6: Final answer
    x = 147,870.75

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.