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Finding the Third Proportional to 109,121 and 234,928

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Solution

The third proportional to 109,121 and 234,928 is: 505,779.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,121 : 234,928 = 234,928 : x
  2. Step 2: Convert to fraction form
    109,121/234,928 = 234,928/x
  3. Step 3: Cross multiply
    109,121x = 234,928 × 234,928
  4. Step 4: Simplify right side
    109,121x = 55,191,165,184
  5. Step 5: Solve for x
    x = 55,191,165,184/109,121
  6. Step 6: Final answer
    x = 505,779.50

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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.