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Finding the Third Proportional to 106,280 and 166,712

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Solution

The third proportional to 106,280 and 166,712 is: 261,506.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,280 : 166,712 = 166,712 : x
  2. Step 2: Convert to fraction form
    106,280/166,712 = 166,712/x
  3. Step 3: Cross multiply
    106,280x = 166,712 × 166,712
  4. Step 4: Simplify right side
    106,280x = 27,792,890,944
  5. Step 5: Solve for x
    x = 27,792,890,944/106,280
  6. Step 6: Final answer
    x = 261,506.31

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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.