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Finding the Third Proportional to 56,706 and 120,581

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Solution

The third proportional to 56,706 and 120,581 is: 256,406.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,706 : 120,581 = 120,581 : x
  2. Step 2: Convert to fraction form
    56,706/120,581 = 120,581/x
  3. Step 3: Cross multiply
    56,706x = 120,581 × 120,581
  4. Step 4: Simplify right side
    56,706x = 14,539,777,561
  5. Step 5: Solve for x
    x = 14,539,777,561/56,706
  6. Step 6: Final answer
    x = 256,406.33

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.