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Finding the Third Proportional to 61,424.25 and 133,965.75

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Solution

The third proportional to 61,424.25 and 133,965.75 is: 292,178.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,424.25 : 133,965.75 = 133,965.75 : x
  2. Step 2: Convert to fraction form
    61,424.25/133,965.75 = 133,965.75/x
  3. Step 3: Cross multiply
    61,424.25x = 133,965.75 × 133,965.75
  4. Step 4: Simplify right side
    61,424.25x = 17,946,822,173.06
  5. Step 5: Solve for x
    x = 17,946,822,173.06/61,424.25
  6. Step 6: Final answer
    x = 292,178.12

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.