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Finding the Third Proportional to 61,757 and 133,039

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Solution

The third proportional to 61,757 and 133,039 is: 286,597.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,757 : 133,039 = 133,039 : x
  2. Step 2: Convert to fraction form
    61,757/133,039 = 133,039/x
  3. Step 3: Cross multiply
    61,757x = 133,039 × 133,039
  4. Step 4: Simplify right side
    61,757x = 17,699,375,521
  5. Step 5: Solve for x
    x = 17,699,375,521/61,757
  6. Step 6: Final answer
    x = 286,597.07

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.