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Finding the Third Proportional to 113,487 and 164,903

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Solution

The third proportional to 113,487 and 164,903 is: 239,613.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,487 : 164,903 = 164,903 : x
  2. Step 2: Convert to fraction form
    113,487/164,903 = 164,903/x
  3. Step 3: Cross multiply
    113,487x = 164,903 × 164,903
  4. Step 4: Simplify right side
    113,487x = 27,192,999,409
  5. Step 5: Solve for x
    x = 27,192,999,409/113,487
  6. Step 6: Final answer
    x = 239,613.34

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.