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Finding the Third Proportional to 64,632 and 97,016

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Solution

The third proportional to 64,632 and 97,016 is: 145,626.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,632 : 97,016 = 97,016 : x
  2. Step 2: Convert to fraction form
    64,632/97,016 = 97,016/x
  3. Step 3: Cross multiply
    64,632x = 97,016 × 97,016
  4. Step 4: Simplify right side
    64,632x = 9,412,104,256
  5. Step 5: Solve for x
    x = 9,412,104,256/64,632
  6. Step 6: Final answer
    x = 145,626.07

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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.