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Finding the Third Proportional to 87,254 and 134,202

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Solution

The third proportional to 87,254 and 134,202 is: 206,410.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,254 : 134,202 = 134,202 : x
  2. Step 2: Convert to fraction form
    87,254/134,202 = 134,202/x
  3. Step 3: Cross multiply
    87,254x = 134,202 × 134,202
  4. Step 4: Simplify right side
    87,254x = 18,010,176,804
  5. Step 5: Solve for x
    x = 18,010,176,804/87,254
  6. Step 6: Final answer
    x = 206,410.90

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.