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Finding the Third Proportional to 88,753 and 193,058

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Solution

The third proportional to 88,753 and 193,058 is: 419,945.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,753 : 193,058 = 193,058 : x
  2. Step 2: Convert to fraction form
    88,753/193,058 = 193,058/x
  3. Step 3: Cross multiply
    88,753x = 193,058 × 193,058
  4. Step 4: Simplify right side
    88,753x = 37,271,391,364
  5. Step 5: Solve for x
    x = 37,271,391,364/88,753
  6. Step 6: Final answer
    x = 419,945.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.