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Finding the Third Proportional to 32,961.94 and 72,127.13

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Solution

The third proportional to 32,961.94 and 72,127.13 is: 157,828.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,961.94 : 72,127.13 = 72,127.13 : x
  2. Step 2: Convert to fraction form
    32,961.94/72,127.13 = 72,127.13/x
  3. Step 3: Cross multiply
    32,961.94x = 72,127.13 × 72,127.13
  4. Step 4: Simplify right side
    32,961.94x = 5,202,322,160.77
  5. Step 5: Solve for x
    x = 5,202,322,160.77/32,961.94
  6. Step 6: Final answer
    x = 157,828.17

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.