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Finding the Third Proportional to 73,103 and 110,194.50

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Solution

The third proportional to 73,103 and 110,194.50 is: 166,105.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,103 : 110,194.50 = 110,194.50 : x
  2. Step 2: Convert to fraction form
    73,103/110,194.50 = 110,194.50/x
  3. Step 3: Cross multiply
    73,103x = 110,194.50 × 110,194.50
  4. Step 4: Simplify right side
    73,103x = 12,142,827,830.25
  5. Step 5: Solve for x
    x = 12,142,827,830.25/73,103
  6. Step 6: Final answer
    x = 166,105.74

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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.