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Finding the Third Proportional to 114,750 and 175,412.25

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Solution

The third proportional to 114,750 and 175,412.25 is: 268,143.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,750 : 175,412.25 = 175,412.25 : x
  2. Step 2: Convert to fraction form
    114,750/175,412.25 = 175,412.25/x
  3. Step 3: Cross multiply
    114,750x = 175,412.25 × 175,412.25
  4. Step 4: Simplify right side
    114,750x = 30,769,457,450.06
  5. Step 5: Solve for x
    x = 30,769,457,450.06/114,750
  6. Step 6: Final answer
    x = 268,143.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.