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Finding the Third Proportional to 53,205.75 and 114,250.50

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Solution

The third proportional to 53,205.75 and 114,250.50 is: 245,333.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,205.75 : 114,250.50 = 114,250.50 : x
  2. Step 2: Convert to fraction form
    53,205.75/114,250.50 = 114,250.50/x
  3. Step 3: Cross multiply
    53,205.75x = 114,250.50 × 114,250.50
  4. Step 4: Simplify right side
    53,205.75x = 13,053,176,750.25
  5. Step 5: Solve for x
    x = 13,053,176,750.25/53,205.75
  6. Step 6: Final answer
    x = 245,333.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.