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Finding the Third Proportional to 73,649 and 115,212.50

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Solution

The third proportional to 73,649 and 115,212.50 is: 180,232.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,649 : 115,212.50 = 115,212.50 : x
  2. Step 2: Convert to fraction form
    73,649/115,212.50 = 115,212.50/x
  3. Step 3: Cross multiply
    73,649x = 115,212.50 × 115,212.50
  4. Step 4: Simplify right side
    73,649x = 13,273,920,156.25
  5. Step 5: Solve for x
    x = 13,273,920,156.25/73,649
  6. Step 6: Final answer
    x = 180,232.18

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.