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Finding the Third Proportional to 64,631 and 93,089

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Solution

The third proportional to 64,631 and 93,089 is: 134,077.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,631 : 93,089 = 93,089 : x
  2. Step 2: Convert to fraction form
    64,631/93,089 = 93,089/x
  3. Step 3: Cross multiply
    64,631x = 93,089 × 93,089
  4. Step 4: Simplify right side
    64,631x = 8,665,561,921
  5. Step 5: Solve for x
    x = 8,665,561,921/64,631
  6. Step 6: Final answer
    x = 134,077.48

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.