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Finding the Third Proportional to 58,537.69 and 125,949.94

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Solution

The third proportional to 58,537.69 and 125,949.94 is: 270,994.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,537.69 : 125,949.94 = 125,949.94 : x
  2. Step 2: Convert to fraction form
    58,537.69/125,949.94 = 125,949.94/x
  3. Step 3: Cross multiply
    58,537.69x = 125,949.94 × 125,949.94
  4. Step 4: Simplify right side
    58,537.69x = 15,863,386,756.25
  5. Step 5: Solve for x
    x = 15,863,386,756.25/58,537.69
  6. Step 6: Final answer
    x = 270,994.42

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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.