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Finding the Third Proportional to 109,757.50 and 235,879

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Solution

The third proportional to 109,757.50 and 235,879 is: 506,925.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,757.50 : 235,879 = 235,879 : x
  2. Step 2: Convert to fraction form
    109,757.50/235,879 = 235,879/x
  3. Step 3: Cross multiply
    109,757.50x = 235,879 × 235,879
  4. Step 4: Simplify right side
    109,757.50x = 55,638,902,641
  5. Step 5: Solve for x
    x = 55,638,902,641/109,757.50
  6. Step 6: Final answer
    x = 506,925.75

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