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Finding the Third Proportional to 56,332.50 and 114,220.50

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Solution

The third proportional to 56,332.50 and 114,220.50 is: 231,594.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,332.50 : 114,220.50 = 114,220.50 : x
  2. Step 2: Convert to fraction form
    56,332.50/114,220.50 = 114,220.50/x
  3. Step 3: Cross multiply
    56,332.50x = 114,220.50 × 114,220.50
  4. Step 4: Simplify right side
    56,332.50x = 13,046,322,620.25
  5. Step 5: Solve for x
    x = 13,046,322,620.25/56,332.50
  6. Step 6: Final answer
    x = 231,594.95

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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.