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Finding the Third Proportional to 61,996 and 135,063.75

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Solution

The third proportional to 61,996 and 135,063.75 is: 294,248.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,996 : 135,063.75 = 135,063.75 : x
  2. Step 2: Convert to fraction form
    61,996/135,063.75 = 135,063.75/x
  3. Step 3: Cross multiply
    61,996x = 135,063.75 × 135,063.75
  4. Step 4: Simplify right side
    61,996x = 18,242,216,564.06
  5. Step 5: Solve for x
    x = 18,242,216,564.06/61,996
  6. Step 6: Final answer
    x = 294,248.28

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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.