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Finding the Third Proportional to 113,817.38 and 163,947.38

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Solution

The third proportional to 113,817.38 and 163,947.38 is: 236,156.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,817.38 : 163,947.38 = 163,947.38 : x
  2. Step 2: Convert to fraction form
    113,817.38/163,947.38 = 163,947.38/x
  3. Step 3: Cross multiply
    113,817.38x = 163,947.38 × 163,947.38
  4. Step 4: Simplify right side
    113,817.38x = 26,878,741,769.39
  5. Step 5: Solve for x
    x = 26,878,741,769.39/113,817.38
  6. Step 6: Final answer
    x = 236,156.75

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.