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Finding the Third Proportional to 53,747.50 and 125,509

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Solution

The third proportional to 53,747.50 and 125,509 is: 293,083.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,747.50 : 125,509 = 125,509 : x
  2. Step 2: Convert to fraction form
    53,747.50/125,509 = 125,509/x
  3. Step 3: Cross multiply
    53,747.50x = 125,509 × 125,509
  4. Step 4: Simplify right side
    53,747.50x = 15,752,509,081
  5. Step 5: Solve for x
    x = 15,752,509,081/53,747.50
  6. Step 6: Final answer
    x = 293,083.57

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.