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Finding the Third Proportional to 58,725 and 125,759.25

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Solution

The third proportional to 58,725 and 125,759.25 is: 269,312.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,725 : 125,759.25 = 125,759.25 : x
  2. Step 2: Convert to fraction form
    58,725/125,759.25 = 125,759.25/x
  3. Step 3: Cross multiply
    58,725x = 125,759.25 × 125,759.25
  4. Step 4: Simplify right side
    58,725x = 15,815,388,960.56
  5. Step 5: Solve for x
    x = 15,815,388,960.56/58,725
  6. Step 6: Final answer
    x = 269,312.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.