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Finding the Third Proportional to 69,049 and 148,668

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Solution

The third proportional to 69,049 and 148,668 is: 320,094.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,049 : 148,668 = 148,668 : x
  2. Step 2: Convert to fraction form
    69,049/148,668 = 148,668/x
  3. Step 3: Cross multiply
    69,049x = 148,668 × 148,668
  4. Step 4: Simplify right side
    69,049x = 22,102,174,224
  5. Step 5: Solve for x
    x = 22,102,174,224/69,049
  6. Step 6: Final answer
    x = 320,094.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.