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Finding the Third Proportional to 98,288 and 134,499

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Solution

The third proportional to 98,288 and 134,499 is: 184,050.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,288 : 134,499 = 134,499 : x
  2. Step 2: Convert to fraction form
    98,288/134,499 = 134,499/x
  3. Step 3: Cross multiply
    98,288x = 134,499 × 134,499
  4. Step 4: Simplify right side
    98,288x = 18,089,981,001
  5. Step 5: Solve for x
    x = 18,089,981,001/98,288
  6. Step 6: Final answer
    x = 184,050.76

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.