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Finding the Third Proportional to 29,129.75 and 62,072.50

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Solution

The third proportional to 29,129.75 and 62,072.50 is: 132,270.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,129.75 : 62,072.50 = 62,072.50 : x
  2. Step 2: Convert to fraction form
    29,129.75/62,072.50 = 62,072.50/x
  3. Step 3: Cross multiply
    29,129.75x = 62,072.50 × 62,072.50
  4. Step 4: Simplify right side
    29,129.75x = 3,852,995,256.25
  5. Step 5: Solve for x
    x = 3,852,995,256.25/29,129.75
  6. Step 6: Final answer
    x = 132,270.11

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.