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Finding the Third Proportional to 56,476.88 and 121,701.38

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Solution

The third proportional to 56,476.88 and 121,701.38 is: 262,252.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,476.88 : 121,701.38 = 121,701.38 : x
  2. Step 2: Convert to fraction form
    56,476.88/121,701.38 = 121,701.38/x
  3. Step 3: Cross multiply
    56,476.88x = 121,701.38 × 121,701.38
  4. Step 4: Simplify right side
    56,476.88x = 14,811,224,676.89
  5. Step 5: Solve for x
    x = 14,811,224,676.89/56,476.88
  6. Step 6: Final answer
    x = 262,252.91

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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.