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Finding the Third Proportional to 109,135.50 and 234,957

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Solution

The third proportional to 109,135.50 and 234,957 is: 505,837.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,135.50 : 234,957 = 234,957 : x
  2. Step 2: Convert to fraction form
    109,135.50/234,957 = 234,957/x
  3. Step 3: Cross multiply
    109,135.50x = 234,957 × 234,957
  4. Step 4: Simplify right side
    109,135.50x = 55,204,791,849
  5. Step 5: Solve for x
    x = 55,204,791,849/109,135.50
  6. Step 6: Final answer
    x = 505,837.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.