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Finding the Third Proportional to 62,007 and 133,835.25

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Solution

The third proportional to 62,007 and 133,835.25 is: 288,868.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,007 : 133,835.25 = 133,835.25 : x
  2. Step 2: Convert to fraction form
    62,007/133,835.25 = 133,835.25/x
  3. Step 3: Cross multiply
    62,007x = 133,835.25 × 133,835.25
  4. Step 4: Simplify right side
    62,007x = 17,911,874,142.56
  5. Step 5: Solve for x
    x = 17,911,874,142.56/62,007
  6. Step 6: Final answer
    x = 288,868.58

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