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Finding the Third Proportional to 69,026 and 149,338

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Solution

The third proportional to 69,026 and 149,338 is: 323,093.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,026 : 149,338 = 149,338 : x
  2. Step 2: Convert to fraction form
    69,026/149,338 = 149,338/x
  3. Step 3: Cross multiply
    69,026x = 149,338 × 149,338
  4. Step 4: Simplify right side
    69,026x = 22,301,838,244
  5. Step 5: Solve for x
    x = 22,301,838,244/69,026
  6. Step 6: Final answer
    x = 323,093.30

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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.