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Finding the Third Proportional to 56,705 and 121,834

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Solution

The third proportional to 56,705 and 121,834 is: 261,767.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,705 : 121,834 = 121,834 : x
  2. Step 2: Convert to fraction form
    56,705/121,834 = 121,834/x
  3. Step 3: Cross multiply
    56,705x = 121,834 × 121,834
  4. Step 4: Simplify right side
    56,705x = 14,843,523,556
  5. Step 5: Solve for x
    x = 14,843,523,556/56,705
  6. Step 6: Final answer
    x = 261,767.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.