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Finding the Third Proportional to 64,975 and 97,197

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Solution

The third proportional to 64,975 and 97,197 is: 145,398.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,975 : 97,197 = 97,197 : x
  2. Step 2: Convert to fraction form
    64,975/97,197 = 97,197/x
  3. Step 3: Cross multiply
    64,975x = 97,197 × 97,197
  4. Step 4: Simplify right side
    64,975x = 9,447,256,809
  5. Step 5: Solve for x
    x = 9,447,256,809/64,975
  6. Step 6: Final answer
    x = 145,398.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.