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Finding the Third Proportional to 56,166 and 84,477

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Solution

The third proportional to 56,166 and 84,477 is: 127,058.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,166 : 84,477 = 84,477 : x
  2. Step 2: Convert to fraction form
    56,166/84,477 = 84,477/x
  3. Step 3: Cross multiply
    56,166x = 84,477 × 84,477
  4. Step 4: Simplify right side
    56,166x = 7,136,363,529
  5. Step 5: Solve for x
    x = 7,136,363,529/56,166
  6. Step 6: Final answer
    x = 127,058.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.