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Finding the Third Proportional to 64,704 and 103,297.50

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Solution

The third proportional to 64,704 and 103,297.50 is: 164,910.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,704 : 103,297.50 = 103,297.50 : x
  2. Step 2: Convert to fraction form
    64,704/103,297.50 = 103,297.50/x
  3. Step 3: Cross multiply
    64,704x = 103,297.50 × 103,297.50
  4. Step 4: Simplify right side
    64,704x = 10,670,373,506.25
  5. Step 5: Solve for x
    x = 10,670,373,506.25/64,704
  6. Step 6: Final answer
    x = 164,910.57

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.