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Finding the Third Proportional to 69,262 and 149,458

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Solution

The third proportional to 69,262 and 149,458 is: 322,510.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,262 : 149,458 = 149,458 : x
  2. Step 2: Convert to fraction form
    69,262/149,458 = 149,458/x
  3. Step 3: Cross multiply
    69,262x = 149,458 × 149,458
  4. Step 4: Simplify right side
    69,262x = 22,337,693,764
  5. Step 5: Solve for x
    x = 22,337,693,764/69,262
  6. Step 6: Final answer
    x = 322,510.09

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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.