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Finding the Third Proportional to 64,089 and 96,102

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Solution

The third proportional to 64,089 and 96,102 is: 144,105.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,089 : 96,102 = 96,102 : x
  2. Step 2: Convert to fraction form
    64,089/96,102 = 96,102/x
  3. Step 3: Cross multiply
    64,089x = 96,102 × 96,102
  4. Step 4: Simplify right side
    64,089x = 9,235,594,404
  5. Step 5: Solve for x
    x = 9,235,594,404/64,089
  6. Step 6: Final answer
    x = 144,105.77

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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.