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Finding the Third Proportional to 106,644 and 160,236

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Solution

The third proportional to 106,644 and 160,236 is: 240,759.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,644 : 160,236 = 160,236 : x
  2. Step 2: Convert to fraction form
    106,644/160,236 = 160,236/x
  3. Step 3: Cross multiply
    106,644x = 160,236 × 160,236
  4. Step 4: Simplify right side
    106,644x = 25,675,575,696
  5. Step 5: Solve for x
    x = 25,675,575,696/106,644
  6. Step 6: Final answer
    x = 240,759.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.