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Finding the Third Proportional to 45,961.17 and 72,220.36

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Solution

The third proportional to 45,961.17 and 72,220.36 is: 113,482.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,961.17 : 72,220.36 = 72,220.36 : x
  2. Step 2: Convert to fraction form
    45,961.17/72,220.36 = 72,220.36/x
  3. Step 3: Cross multiply
    45,961.17x = 72,220.36 × 72,220.36
  4. Step 4: Simplify right side
    45,961.17x = 5,215,780,308.25
  5. Step 5: Solve for x
    x = 5,215,780,308.25/45,961.17
  6. Step 6: Final answer
    x = 113,482.32

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.