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Finding the Third Proportional to 37,043 and 72,221

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Solution

The third proportional to 37,043 and 72,221 is: 140,805.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,043 : 72,221 = 72,221 : x
  2. Step 2: Convert to fraction form
    37,043/72,221 = 72,221/x
  3. Step 3: Cross multiply
    37,043x = 72,221 × 72,221
  4. Step 4: Simplify right side
    37,043x = 5,215,872,841
  5. Step 5: Solve for x
    x = 5,215,872,841/37,043
  6. Step 6: Final answer
    x = 140,805.90

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.