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Finding the Third Proportional to 100,580 and 150,894

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Solution

The third proportional to 100,580 and 150,894 is: 226,377.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,580 : 150,894 = 150,894 : x
  2. Step 2: Convert to fraction form
    100,580/150,894 = 150,894/x
  3. Step 3: Cross multiply
    100,580x = 150,894 × 150,894
  4. Step 4: Simplify right side
    100,580x = 22,768,999,236
  5. Step 5: Solve for x
    x = 22,768,999,236/100,580
  6. Step 6: Final answer
    x = 226,377.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.