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Finding the Third Proportional to 48,784 and 72,968

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Solution

The third proportional to 48,784 and 72,968 is: 109,140.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,784 : 72,968 = 72,968 : x
  2. Step 2: Convert to fraction form
    48,784/72,968 = 72,968/x
  3. Step 3: Cross multiply
    48,784x = 72,968 × 72,968
  4. Step 4: Simplify right side
    48,784x = 5,324,329,024
  5. Step 5: Solve for x
    x = 5,324,329,024/48,784
  6. Step 6: Final answer
    x = 109,140.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.