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Finding the Third Proportional to 107,199 and 235,134

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Solution

The third proportional to 107,199 and 235,134 is: 515,751.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,199 : 235,134 = 235,134 : x
  2. Step 2: Convert to fraction form
    107,199/235,134 = 235,134/x
  3. Step 3: Cross multiply
    107,199x = 235,134 × 235,134
  4. Step 4: Simplify right side
    107,199x = 55,287,997,956
  5. Step 5: Solve for x
    x = 55,287,997,956/107,199
  6. Step 6: Final answer
    x = 515,751.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.