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Finding the Third Proportional to 67,437 and 104,197.50

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Solution

The third proportional to 67,437 and 104,197.50 is: 160,996.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,437 : 104,197.50 = 104,197.50 : x
  2. Step 2: Convert to fraction form
    67,437/104,197.50 = 104,197.50/x
  3. Step 3: Cross multiply
    67,437x = 104,197.50 × 104,197.50
  4. Step 4: Simplify right side
    67,437x = 10,857,119,006.25
  5. Step 5: Solve for x
    x = 10,857,119,006.25/67,437
  6. Step 6: Final answer
    x = 160,996.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.