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Finding the Third Proportional to 65,974 and 155,583

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Solution

The third proportional to 65,974 and 155,583 is: 366,903.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,974 : 155,583 = 155,583 : x
  2. Step 2: Convert to fraction form
    65,974/155,583 = 155,583/x
  3. Step 3: Cross multiply
    65,974x = 155,583 × 155,583
  4. Step 4: Simplify right side
    65,974x = 24,206,069,889
  5. Step 5: Solve for x
    x = 24,206,069,889/65,974
  6. Step 6: Final answer
    x = 366,903.17

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.