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Finding the Third Proportional to 100,580 and 149,134

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Solution

The third proportional to 100,580 and 149,134 is: 221,126.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,580 : 149,134 = 149,134 : x
  2. Step 2: Convert to fraction form
    100,580/149,134 = 149,134/x
  3. Step 3: Cross multiply
    100,580x = 149,134 × 149,134
  4. Step 4: Simplify right side
    100,580x = 22,240,949,956
  5. Step 5: Solve for x
    x = 22,240,949,956/100,580
  6. Step 6: Final answer
    x = 221,126.96

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.