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Finding the Third Proportional to 64,984 and 95,172

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Solution

The third proportional to 64,984 and 95,172 is: 139,383.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,984 : 95,172 = 95,172 : x
  2. Step 2: Convert to fraction form
    64,984/95,172 = 95,172/x
  3. Step 3: Cross multiply
    64,984x = 95,172 × 95,172
  4. Step 4: Simplify right side
    64,984x = 9,057,709,584
  5. Step 5: Solve for x
    x = 9,057,709,584/64,984
  6. Step 6: Final answer
    x = 139,383.69

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.