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Finding the Third Proportional to 69,581 and 149,000

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Solution

The third proportional to 69,581 and 149,000 is: 319,066.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,581 : 149,000 = 149,000 : x
  2. Step 2: Convert to fraction form
    69,581/149,000 = 149,000/x
  3. Step 3: Cross multiply
    69,581x = 149,000 × 149,000
  4. Step 4: Simplify right side
    69,581x = 22,201,000,000
  5. Step 5: Solve for x
    x = 22,201,000,000/69,581
  6. Step 6: Final answer
    x = 319,066.99

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.