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Finding the Third Proportional to 130,086 and 196,155

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Solution

The third proportional to 130,086 and 196,155 is: 295,779.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,086 : 196,155 = 196,155 : x
  2. Step 2: Convert to fraction form
    130,086/196,155 = 196,155/x
  3. Step 3: Cross multiply
    130,086x = 196,155 × 196,155
  4. Step 4: Simplify right side
    130,086x = 38,476,784,025
  5. Step 5: Solve for x
    x = 38,476,784,025/130,086
  6. Step 6: Final answer
    x = 295,779.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.