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Finding the Third Proportional to 67,861 and 99,763

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Solution

The third proportional to 67,861 and 99,763 is: 146,662.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,861 : 99,763 = 99,763 : x
  2. Step 2: Convert to fraction form
    67,861/99,763 = 99,763/x
  3. Step 3: Cross multiply
    67,861x = 99,763 × 99,763
  4. Step 4: Simplify right side
    67,861x = 9,952,656,169
  5. Step 5: Solve for x
    x = 9,952,656,169/67,861
  6. Step 6: Final answer
    x = 146,662.39

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.