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Finding the Third Proportional to 67,629.94 and 96,129.28

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Solution

The third proportional to 67,629.94 and 96,129.28 is: 136,638.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,629.94 : 96,129.28 = 96,129.28 : x
  2. Step 2: Convert to fraction form
    67,629.94/96,129.28 = 96,129.28/x
  3. Step 3: Cross multiply
    67,629.94x = 96,129.28 × 96,129.28
  4. Step 4: Simplify right side
    67,629.94x = 9,240,838,713.64
  5. Step 5: Solve for x
    x = 9,240,838,713.64/67,629.94
  6. Step 6: Final answer
    x = 136,638.29

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.