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Finding the Third Proportional to 56,586.09 and 122,064.47

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Solution

The third proportional to 56,586.09 and 122,064.47 is: 263,310.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,586.09 : 122,064.47 = 122,064.47 : x
  2. Step 2: Convert to fraction form
    56,586.09/122,064.47 = 122,064.47/x
  3. Step 3: Cross multiply
    56,586.09x = 122,064.47 × 122,064.47
  4. Step 4: Simplify right side
    56,586.09x = 14,899,734,531.22
  5. Step 5: Solve for x
    x = 14,899,734,531.22/56,586.09
  6. Step 6: Final answer
    x = 263,310.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.