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Finding the Third Proportional to 64,141.88 and 100,617.75

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Solution

The third proportional to 64,141.88 and 100,617.75 is: 157,836.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,141.88 : 100,617.75 = 100,617.75 : x
  2. Step 2: Convert to fraction form
    64,141.88/100,617.75 = 100,617.75/x
  3. Step 3: Cross multiply
    64,141.88x = 100,617.75 × 100,617.75
  4. Step 4: Simplify right side
    64,141.88x = 10,123,931,615.06
  5. Step 5: Solve for x
    x = 10,123,931,615.06/64,141.88
  6. Step 6: Final answer
    x = 157,836.54

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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.