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Finding the Third Proportional to 57,998 and 88,212

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Solution

The third proportional to 57,998 and 88,212 is: 134,165.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,998 : 88,212 = 88,212 : x
  2. Step 2: Convert to fraction form
    57,998/88,212 = 88,212/x
  3. Step 3: Cross multiply
    57,998x = 88,212 × 88,212
  4. Step 4: Simplify right side
    57,998x = 7,781,356,944
  5. Step 5: Solve for x
    x = 7,781,356,944/57,998
  6. Step 6: Final answer
    x = 134,165.95

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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.