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Finding the Third Proportional to 57,206 and 87,511

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Solution

The third proportional to 57,206 and 87,511 is: 133,870.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,206 : 87,511 = 87,511 : x
  2. Step 2: Convert to fraction form
    57,206/87,511 = 87,511/x
  3. Step 3: Cross multiply
    57,206x = 87,511 × 87,511
  4. Step 4: Simplify right side
    57,206x = 7,658,175,121
  5. Step 5: Solve for x
    x = 7,658,175,121/57,206
  6. Step 6: Final answer
    x = 133,870.14

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.