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Finding the Third Proportional to 109,929 and 164,821.50

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Solution

The third proportional to 109,929 and 164,821.50 is: 247,124.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,929 : 164,821.50 = 164,821.50 : x
  2. Step 2: Convert to fraction form
    109,929/164,821.50 = 164,821.50/x
  3. Step 3: Cross multiply
    109,929x = 164,821.50 × 164,821.50
  4. Step 4: Simplify right side
    109,929x = 27,166,126,862.25
  5. Step 5: Solve for x
    x = 27,166,126,862.25/109,929
  6. Step 6: Final answer
    x = 247,124.30

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