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Finding the Third Proportional to 64,972 and 97,192

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Solution

The third proportional to 64,972 and 97,192 is: 145,390.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,972 : 97,192 = 97,192 : x
  2. Step 2: Convert to fraction form
    64,972/97,192 = 97,192/x
  3. Step 3: Cross multiply
    64,972x = 97,192 × 97,192
  4. Step 4: Simplify right side
    64,972x = 9,446,284,864
  5. Step 5: Solve for x
    x = 9,446,284,864/64,972
  6. Step 6: Final answer
    x = 145,390.09

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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.