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Finding the Third Proportional to 69,256 and 149,587

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Solution

The third proportional to 69,256 and 149,587 is: 323,095.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,256 : 149,587 = 149,587 : x
  2. Step 2: Convert to fraction form
    69,256/149,587 = 149,587/x
  3. Step 3: Cross multiply
    69,256x = 149,587 × 149,587
  4. Step 4: Simplify right side
    69,256x = 22,376,270,569
  5. Step 5: Solve for x
    x = 22,376,270,569/69,256
  6. Step 6: Final answer
    x = 323,095.05

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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.