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Finding the Third Proportional to 69,746 and 101,378

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Solution

The third proportional to 69,746 and 101,378 is: 147,356.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,746 : 101,378 = 101,378 : x
  2. Step 2: Convert to fraction form
    69,746/101,378 = 101,378/x
  3. Step 3: Cross multiply
    69,746x = 101,378 × 101,378
  4. Step 4: Simplify right side
    69,746x = 10,277,498,884
  5. Step 5: Solve for x
    x = 10,277,498,884/69,746
  6. Step 6: Final answer
    x = 147,356.10

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.