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Finding the Third Proportional to 56,031.75 and 121,398.75

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Solution

The third proportional to 56,031.75 and 121,398.75 is: 263,023.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,031.75 : 121,398.75 = 121,398.75 : x
  2. Step 2: Convert to fraction form
    56,031.75/121,398.75 = 121,398.75/x
  3. Step 3: Cross multiply
    56,031.75x = 121,398.75 × 121,398.75
  4. Step 4: Simplify right side
    56,031.75x = 14,737,656,501.56
  5. Step 5: Solve for x
    x = 14,737,656,501.56/56,031.75
  6. Step 6: Final answer
    x = 263,023.31

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