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Finding the Third Proportional to 31,129.69 and 68,801.06

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Solution

The third proportional to 31,129.69 and 68,801.06 is: 152,060.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,129.69 : 68,801.06 = 68,801.06 : x
  2. Step 2: Convert to fraction form
    31,129.69/68,801.06 = 68,801.06/x
  3. Step 3: Cross multiply
    31,129.69x = 68,801.06 × 68,801.06
  4. Step 4: Simplify right side
    31,129.69x = 4,733,586,201.13
  5. Step 5: Solve for x
    x = 4,733,586,201.13/31,129.69
  6. Step 6: Final answer
    x = 152,060.19

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.