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Finding the Third Proportional to 64,736 and 97,699

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Solution

The third proportional to 64,736 and 97,699 is: 147,446.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,736 : 97,699 = 97,699 : x
  2. Step 2: Convert to fraction form
    64,736/97,699 = 97,699/x
  3. Step 3: Cross multiply
    64,736x = 97,699 × 97,699
  4. Step 4: Simplify right side
    64,736x = 9,545,094,601
  5. Step 5: Solve for x
    x = 9,545,094,601/64,736
  6. Step 6: Final answer
    x = 147,446.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.