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Finding the Third Proportional to 73,837.50 and 110,827.50

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Solution

The third proportional to 73,837.50 and 110,827.50 is: 166,348.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,837.50 : 110,827.50 = 110,827.50 : x
  2. Step 2: Convert to fraction form
    73,837.50/110,827.50 = 110,827.50/x
  3. Step 3: Cross multiply
    73,837.50x = 110,827.50 × 110,827.50
  4. Step 4: Simplify right side
    73,837.50x = 12,282,734,756.25
  5. Step 5: Solve for x
    x = 12,282,734,756.25/73,837.50
  6. Step 6: Final answer
    x = 166,348.19

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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.