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Finding the Third Proportional to 57,197 and 86,961.50

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Solution

The third proportional to 57,197 and 86,961.50 is: 132,215.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,197 : 86,961.50 = 86,961.50 : x
  2. Step 2: Convert to fraction form
    57,197/86,961.50 = 86,961.50/x
  3. Step 3: Cross multiply
    57,197x = 86,961.50 × 86,961.50
  4. Step 4: Simplify right side
    57,197x = 7,562,302,482.25
  5. Step 5: Solve for x
    x = 7,562,302,482.25/57,197
  6. Step 6: Final answer
    x = 132,215.02

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.