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Finding the Third Proportional to 113,572.69 and 175,097.53

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Solution

The third proportional to 113,572.69 and 175,097.53 is: 269,951.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,572.69 : 175,097.53 = 175,097.53 : x
  2. Step 2: Convert to fraction form
    113,572.69/175,097.53 = 175,097.53/x
  3. Step 3: Cross multiply
    113,572.69x = 175,097.53 × 175,097.53
  4. Step 4: Simplify right side
    113,572.69x = 30,659,145,449.84
  5. Step 5: Solve for x
    x = 30,659,145,449.84/113,572.69
  6. Step 6: Final answer
    x = 269,951.75

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.