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Finding the Third Proportional to 56,363 and 87,392

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Solution

The third proportional to 56,363 and 87,392 is: 135,503.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,363 : 87,392 = 87,392 : x
  2. Step 2: Convert to fraction form
    56,363/87,392 = 87,392/x
  3. Step 3: Cross multiply
    56,363x = 87,392 × 87,392
  4. Step 4: Simplify right side
    56,363x = 7,637,361,664
  5. Step 5: Solve for x
    x = 7,637,361,664/56,363
  6. Step 6: Final answer
    x = 135,503.11

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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.