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Finding the Third Proportional to 109,804 and 160,518

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Solution

The third proportional to 109,804 and 160,518 is: 234,654.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,804 : 160,518 = 160,518 : x
  2. Step 2: Convert to fraction form
    109,804/160,518 = 160,518/x
  3. Step 3: Cross multiply
    109,804x = 160,518 × 160,518
  4. Step 4: Simplify right side
    109,804x = 25,766,028,324
  5. Step 5: Solve for x
    x = 25,766,028,324/109,804
  6. Step 6: Final answer
    x = 234,654.73

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.