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Finding the Third Proportional to 113,676.75 and 176,512.50

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Solution

The third proportional to 113,676.75 and 176,512.50 is: 274,081.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,676.75 : 176,512.50 = 176,512.50 : x
  2. Step 2: Convert to fraction form
    113,676.75/176,512.50 = 176,512.50/x
  3. Step 3: Cross multiply
    113,676.75x = 176,512.50 × 176,512.50
  4. Step 4: Simplify right side
    113,676.75x = 31,156,662,656.25
  5. Step 5: Solve for x
    x = 31,156,662,656.25/113,676.75
  6. Step 6: Final answer
    x = 274,081.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.