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Finding the Third Proportional to 66,952 and 103,728

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Solution

The third proportional to 66,952 and 103,728 is: 160,704.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,952 : 103,728 = 103,728 : x
  2. Step 2: Convert to fraction form
    66,952/103,728 = 103,728/x
  3. Step 3: Cross multiply
    66,952x = 103,728 × 103,728
  4. Step 4: Simplify right side
    66,952x = 10,759,497,984
  5. Step 5: Solve for x
    x = 10,759,497,984/66,952
  6. Step 6: Final answer
    x = 160,704.65

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.