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Finding the Third Proportional to 117,554.25 and 176,058

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Solution

The third proportional to 117,554.25 and 176,058 is: 263,677.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,554.25 : 176,058 = 176,058 : x
  2. Step 2: Convert to fraction form
    117,554.25/176,058 = 176,058/x
  3. Step 3: Cross multiply
    117,554.25x = 176,058 × 176,058
  4. Step 4: Simplify right side
    117,554.25x = 30,996,419,364
  5. Step 5: Solve for x
    x = 30,996,419,364/117,554.25
  6. Step 6: Final answer
    x = 263,677.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.