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Finding the Third Proportional to 56,431.69 and 121,682.25

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Solution

The third proportional to 56,431.69 and 121,682.25 is: 262,380.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,431.69 : 121,682.25 = 121,682.25 : x
  2. Step 2: Convert to fraction form
    56,431.69/121,682.25 = 121,682.25/x
  3. Step 3: Cross multiply
    56,431.69x = 121,682.25 × 121,682.25
  4. Step 4: Simplify right side
    56,431.69x = 14,806,569,965.06
  5. Step 5: Solve for x
    x = 14,806,569,965.06/56,431.69
  6. Step 6: Final answer
    x = 262,380.42

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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.