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Finding the Third Proportional to 87,582 and 135,871

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Solution

The third proportional to 87,582 and 135,871 is: 210,784.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,582 : 135,871 = 135,871 : x
  2. Step 2: Convert to fraction form
    87,582/135,871 = 135,871/x
  3. Step 3: Cross multiply
    87,582x = 135,871 × 135,871
  4. Step 4: Simplify right side
    87,582x = 18,460,928,641
  5. Step 5: Solve for x
    x = 18,460,928,641/87,582
  6. Step 6: Final answer
    x = 210,784.51

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Why These Related Problems?

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