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Finding the Third Proportional to 110,194.50 and 163,671.75

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Solution

The third proportional to 110,194.50 and 163,671.75 is: 243,101.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,194.50 : 163,671.75 = 163,671.75 : x
  2. Step 2: Convert to fraction form
    110,194.50/163,671.75 = 163,671.75/x
  3. Step 3: Cross multiply
    110,194.50x = 163,671.75 × 163,671.75
  4. Step 4: Simplify right side
    110,194.50x = 26,788,441,748.06
  5. Step 5: Solve for x
    x = 26,788,441,748.06/110,194.50
  6. Step 6: Final answer
    x = 243,101.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.