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Finding the Third Proportional to 69,266 and 149,607

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Solution

The third proportional to 69,266 and 149,607 is: 323,134.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,266 : 149,607 = 149,607 : x
  2. Step 2: Convert to fraction form
    69,266/149,607 = 149,607/x
  3. Step 3: Cross multiply
    69,266x = 149,607 × 149,607
  4. Step 4: Simplify right side
    69,266x = 22,382,254,449
  5. Step 5: Solve for x
    x = 22,382,254,449/69,266
  6. Step 6: Final answer
    x = 323,134.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.