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Finding the Third Proportional to 64,936.13 and 97,142.91

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Solution

The third proportional to 64,936.13 and 97,142.91 is: 145,323.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,936.13 : 97,142.91 = 97,142.91 : x
  2. Step 2: Convert to fraction form
    64,936.13/97,142.91 = 97,142.91/x
  3. Step 3: Cross multiply
    64,936.13x = 97,142.91 × 97,142.91
  4. Step 4: Simplify right side
    64,936.13x = 9,436,744,234.70
  5. Step 5: Solve for x
    x = 9,436,744,234.70/64,936.13
  6. Step 6: Final answer
    x = 145,323.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.