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Finding the Third Proportional to 64,137.76 and 100,611.97

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Solution

The third proportional to 64,137.76 and 100,611.97 is: 157,828.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,137.76 : 100,611.97 = 100,611.97 : x
  2. Step 2: Convert to fraction form
    64,137.76/100,611.97 = 100,611.97/x
  3. Step 3: Cross multiply
    64,137.76x = 100,611.97 × 100,611.97
  4. Step 4: Simplify right side
    64,137.76x = 10,122,767,862.74
  5. Step 5: Solve for x
    x = 10,122,767,862.74/64,137.76
  6. Step 6: Final answer
    x = 157,828.52

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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.