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Finding the Third Proportional to 64,821 and 97,233

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Solution

The third proportional to 64,821 and 97,233 is: 145,851.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,821 : 97,233 = 97,233 : x
  2. Step 2: Convert to fraction form
    64,821/97,233 = 97,233/x
  3. Step 3: Cross multiply
    64,821x = 97,233 × 97,233
  4. Step 4: Simplify right side
    64,821x = 9,454,256,289
  5. Step 5: Solve for x
    x = 9,454,256,289/64,821
  6. Step 6: Final answer
    x = 145,851.75

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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.