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Finding the Third Proportional to 67,110.75 and 102,772.13

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Solution

The third proportional to 67,110.75 and 102,772.13 is: 157,383.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,110.75 : 102,772.13 = 102,772.13 : x
  2. Step 2: Convert to fraction form
    67,110.75/102,772.13 = 102,772.13/x
  3. Step 3: Cross multiply
    67,110.75x = 102,772.13 × 102,772.13
  4. Step 4: Simplify right side
    67,110.75x = 10,562,109,677.02
  5. Step 5: Solve for x
    x = 10,562,109,677.02/67,110.75
  6. Step 6: Final answer
    x = 157,383.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.