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Finding the Third Proportional to 56,337.75 and 114,231

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Solution

The third proportional to 56,337.75 and 114,231 is: 231,615.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,337.75 : 114,231 = 114,231 : x
  2. Step 2: Convert to fraction form
    56,337.75/114,231 = 114,231/x
  3. Step 3: Cross multiply
    56,337.75x = 114,231 × 114,231
  4. Step 4: Simplify right side
    56,337.75x = 13,048,721,361
  5. Step 5: Solve for x
    x = 13,048,721,361/56,337.75
  6. Step 6: Final answer
    x = 231,615.95

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.