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Finding the Third Proportional to 71,103 and 106,546.50

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Solution

The third proportional to 71,103 and 106,546.50 is: 159,657.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,103 : 106,546.50 = 106,546.50 : x
  2. Step 2: Convert to fraction form
    71,103/106,546.50 = 106,546.50/x
  3. Step 3: Cross multiply
    71,103x = 106,546.50 × 106,546.50
  4. Step 4: Simplify right side
    71,103x = 11,352,156,662.25
  5. Step 5: Solve for x
    x = 11,352,156,662.25/71,103
  6. Step 6: Final answer
    x = 159,657.91

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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.