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Finding the Third Proportional to 64,529 and 97,765

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Solution

The third proportional to 64,529 and 97,765 is: 148,119.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,529 : 97,765 = 97,765 : x
  2. Step 2: Convert to fraction form
    64,529/97,765 = 97,765/x
  3. Step 3: Cross multiply
    64,529x = 97,765 × 97,765
  4. Step 4: Simplify right side
    64,529x = 9,557,995,225
  5. Step 5: Solve for x
    x = 9,557,995,225/64,529
  6. Step 6: Final answer
    x = 148,119.38

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.