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Finding the Third Proportional to 61,464.75 and 134,099.75

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Solution

The third proportional to 61,464.75 and 134,099.75 is: 292,570.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,464.75 : 134,099.75 = 134,099.75 : x
  2. Step 2: Convert to fraction form
    61,464.75/134,099.75 = 134,099.75/x
  3. Step 3: Cross multiply
    61,464.75x = 134,099.75 × 134,099.75
  4. Step 4: Simplify right side
    61,464.75x = 17,982,742,950.06
  5. Step 5: Solve for x
    x = 17,982,742,950.06/61,464.75
  6. Step 6: Final answer
    x = 292,570.02

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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.