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Finding the Third Proportional to 114,869.50 and 167,848.75

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Solution

The third proportional to 114,869.50 and 167,848.75 is: 245,262.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,869.50 : 167,848.75 = 167,848.75 : x
  2. Step 2: Convert to fraction form
    114,869.50/167,848.75 = 167,848.75/x
  3. Step 3: Cross multiply
    114,869.50x = 167,848.75 × 167,848.75
  4. Step 4: Simplify right side
    114,869.50x = 28,173,202,876.56
  5. Step 5: Solve for x
    x = 28,173,202,876.56/114,869.50
  6. Step 6: Final answer
    x = 245,262.69

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.