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Finding the Third Proportional to 61,268 and 93,704.25

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Solution

The third proportional to 61,268 and 93,704.25 is: 143,312.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,268 : 93,704.25 = 93,704.25 : x
  2. Step 2: Convert to fraction form
    61,268/93,704.25 = 93,704.25/x
  3. Step 3: Cross multiply
    61,268x = 93,704.25 × 93,704.25
  4. Step 4: Simplify right side
    61,268x = 8,780,486,468.06
  5. Step 5: Solve for x
    x = 8,780,486,468.06/61,268
  6. Step 6: Final answer
    x = 143,312.76

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.