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Finding the Third Proportional to 56,340.75 and 114,237

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Solution

The third proportional to 56,340.75 and 114,237 is: 231,627.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,340.75 : 114,237 = 114,237 : x
  2. Step 2: Convert to fraction form
    56,340.75/114,237 = 114,237/x
  3. Step 3: Cross multiply
    56,340.75x = 114,237 × 114,237
  4. Step 4: Simplify right side
    56,340.75x = 13,050,092,169
  5. Step 5: Solve for x
    x = 13,050,092,169/56,340.75
  6. Step 6: Final answer
    x = 231,627.95

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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.