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Finding the Third Proportional to 65,950 and 100,586

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Solution

The third proportional to 65,950 and 100,586 is: 153,412.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,950 : 100,586 = 100,586 : x
  2. Step 2: Convert to fraction form
    65,950/100,586 = 100,586/x
  3. Step 3: Cross multiply
    65,950x = 100,586 × 100,586
  4. Step 4: Simplify right side
    65,950x = 10,117,543,396
  5. Step 5: Solve for x
    x = 10,117,543,396/65,950
  6. Step 6: Final answer
    x = 153,412.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.