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Finding the Third Proportional to 56,959.88 and 91,514.81

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Solution

The third proportional to 56,959.88 and 91,514.81 is: 147,032.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,959.88 : 91,514.81 = 91,514.81 : x
  2. Step 2: Convert to fraction form
    56,959.88/91,514.81 = 91,514.81/x
  3. Step 3: Cross multiply
    56,959.88x = 91,514.81 × 91,514.81
  4. Step 4: Simplify right side
    56,959.88x = 8,374,960,906.91
  5. Step 5: Solve for x
    x = 8,374,960,906.91/56,959.88
  6. Step 6: Final answer
    x = 147,032.64

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.