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Finding the Third Proportional to 75,896 and 114,089

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Solution

The third proportional to 75,896 and 114,089 is: 171,501.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,896 : 114,089 = 114,089 : x
  2. Step 2: Convert to fraction form
    75,896/114,089 = 114,089/x
  3. Step 3: Cross multiply
    75,896x = 114,089 × 114,089
  4. Step 4: Simplify right side
    75,896x = 13,016,299,921
  5. Step 5: Solve for x
    x = 13,016,299,921/75,896
  6. Step 6: Final answer
    x = 171,501.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.