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Finding the Third Proportional to 106,650 and 160,650

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Solution

The third proportional to 106,650 and 160,650 is: 241,991.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,650 : 160,650 = 160,650 : x
  2. Step 2: Convert to fraction form
    106,650/160,650 = 160,650/x
  3. Step 3: Cross multiply
    106,650x = 160,650 × 160,650
  4. Step 4: Simplify right side
    106,650x = 25,808,422,500
  5. Step 5: Solve for x
    x = 25,808,422,500/106,650
  6. Step 6: Final answer
    x = 241,991.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.