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Finding the Third Proportional to 62,057.50 and 133,955

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Solution

The third proportional to 62,057.50 and 133,955 is: 289,150.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,057.50 : 133,955 = 133,955 : x
  2. Step 2: Convert to fraction form
    62,057.50/133,955 = 133,955/x
  3. Step 3: Cross multiply
    62,057.50x = 133,955 × 133,955
  4. Step 4: Simplify right side
    62,057.50x = 17,943,942,025
  5. Step 5: Solve for x
    x = 17,943,942,025/62,057.50
  6. Step 6: Final answer
    x = 289,150.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.