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Finding the Third Proportional to 61,807 and 133,469

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Solution

The third proportional to 61,807 and 133,469 is: 288,219.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,807 : 133,469 = 133,469 : x
  2. Step 2: Convert to fraction form
    61,807/133,469 = 133,469/x
  3. Step 3: Cross multiply
    61,807x = 133,469 × 133,469
  4. Step 4: Simplify right side
    61,807x = 17,813,973,961
  5. Step 5: Solve for x
    x = 17,813,973,961/61,807
  6. Step 6: Final answer
    x = 288,219.36

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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.