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Finding the Third Proportional to 42,163.13 and 64,107.84

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Solution

The third proportional to 42,163.13 and 64,107.84 is: 97,474.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,163.13 : 64,107.84 = 64,107.84 : x
  2. Step 2: Convert to fraction form
    42,163.13/64,107.84 = 64,107.84/x
  3. Step 3: Cross multiply
    42,163.13x = 64,107.84 × 64,107.84
  4. Step 4: Simplify right side
    42,163.13x = 4,109,815,630.27
  5. Step 5: Solve for x
    x = 4,109,815,630.27/42,163.13
  6. Step 6: Final answer
    x = 97,474.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.