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Finding the Third Proportional to 64,940 and 88,002

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Solution

The third proportional to 64,940 and 88,002 is: 119,253.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,940 : 88,002 = 88,002 : x
  2. Step 2: Convert to fraction form
    64,940/88,002 = 88,002/x
  3. Step 3: Cross multiply
    64,940x = 88,002 × 88,002
  4. Step 4: Simplify right side
    64,940x = 7,744,352,004
  5. Step 5: Solve for x
    x = 7,744,352,004/64,940
  6. Step 6: Final answer
    x = 119,253.96

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.