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Finding the Third Proportional to 64,529.75 and 97,766

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Solution

The third proportional to 64,529.75 and 97,766 is: 148,120.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,529.75 : 97,766 = 97,766 : x
  2. Step 2: Convert to fraction form
    64,529.75/97,766 = 97,766/x
  3. Step 3: Cross multiply
    64,529.75x = 97,766 × 97,766
  4. Step 4: Simplify right side
    64,529.75x = 9,558,190,756
  5. Step 5: Solve for x
    x = 9,558,190,756/64,529.75
  6. Step 6: Final answer
    x = 148,120.68

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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.