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Finding the Third Proportional to 77,469 and 109,089

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Solution

The third proportional to 77,469 and 109,089 is: 153,615.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,469 : 109,089 = 109,089 : x
  2. Step 2: Convert to fraction form
    77,469/109,089 = 109,089/x
  3. Step 3: Cross multiply
    77,469x = 109,089 × 109,089
  4. Step 4: Simplify right side
    77,469x = 11,900,409,921
  5. Step 5: Solve for x
    x = 11,900,409,921/77,469
  6. Step 6: Final answer
    x = 153,615.12

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.