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Finding the Third Proportional to 69,905 and 164,192

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Solution

The third proportional to 69,905 and 164,192 is: 385,652.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,905 : 164,192 = 164,192 : x
  2. Step 2: Convert to fraction form
    69,905/164,192 = 164,192/x
  3. Step 3: Cross multiply
    69,905x = 164,192 × 164,192
  4. Step 4: Simplify right side
    69,905x = 26,959,012,864
  5. Step 5: Solve for x
    x = 26,959,012,864/69,905
  6. Step 6: Final answer
    x = 385,652.14

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.