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Finding the Third Proportional to 61,511.38 and 100,441.50

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Solution

The third proportional to 61,511.38 and 100,441.50 is: 164,010.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,511.38 : 100,441.50 = 100,441.50 : x
  2. Step 2: Convert to fraction form
    61,511.38/100,441.50 = 100,441.50/x
  3. Step 3: Cross multiply
    61,511.38x = 100,441.50 × 100,441.50
  4. Step 4: Simplify right side
    61,511.38x = 10,088,494,922.25
  5. Step 5: Solve for x
    x = 10,088,494,922.25/61,511.38
  6. Step 6: Final answer
    x = 164,010.23

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.