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Finding the Third Proportional to 56,097.38 and 121,540.88

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Solution

The third proportional to 56,097.38 and 121,540.88 is: 263,331.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,097.38 : 121,540.88 = 121,540.88 : x
  2. Step 2: Convert to fraction form
    56,097.38/121,540.88 = 121,540.88/x
  3. Step 3: Cross multiply
    56,097.38x = 121,540.88 × 121,540.88
  4. Step 4: Simplify right side
    56,097.38x = 14,772,184,295.77
  5. Step 5: Solve for x
    x = 14,772,184,295.77/56,097.38
  6. Step 6: Final answer
    x = 263,331.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.