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Finding the Third Proportional to 40,149 and 85,855.50

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Solution

The third proportional to 40,149 and 85,855.50 is: 183,595.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,149 : 85,855.50 = 85,855.50 : x
  2. Step 2: Convert to fraction form
    40,149/85,855.50 = 85,855.50/x
  3. Step 3: Cross multiply
    40,149x = 85,855.50 × 85,855.50
  4. Step 4: Simplify right side
    40,149x = 7,371,166,880.25
  5. Step 5: Solve for x
    x = 7,371,166,880.25/40,149
  6. Step 6: Final answer
    x = 183,595.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.