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Finding the Third Proportional to 87,574 and 135,862

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Solution

The third proportional to 87,574 and 135,862 is: 210,775.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,574 : 135,862 = 135,862 : x
  2. Step 2: Convert to fraction form
    87,574/135,862 = 135,862/x
  3. Step 3: Cross multiply
    87,574x = 135,862 × 135,862
  4. Step 4: Simplify right side
    87,574x = 18,458,483,044
  5. Step 5: Solve for x
    x = 18,458,483,044/87,574
  6. Step 6: Final answer
    x = 210,775.84

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.