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Finding the Third Proportional to 67,616 and 106,066

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Solution

The third proportional to 67,616 and 106,066 is: 166,380.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,616 : 106,066 = 106,066 : x
  2. Step 2: Convert to fraction form
    67,616/106,066 = 106,066/x
  3. Step 3: Cross multiply
    67,616x = 106,066 × 106,066
  4. Step 4: Simplify right side
    67,616x = 11,249,996,356
  5. Step 5: Solve for x
    x = 11,249,996,356/67,616
  6. Step 6: Final answer
    x = 166,380.68

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.