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Finding the Third Proportional to 113,956.50 and 176,908.50

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Solution

The third proportional to 113,956.50 and 176,908.50 is: 274,636.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,956.50 : 176,908.50 = 176,908.50 : x
  2. Step 2: Convert to fraction form
    113,956.50/176,908.50 = 176,908.50/x
  3. Step 3: Cross multiply
    113,956.50x = 176,908.50 × 176,908.50
  4. Step 4: Simplify right side
    113,956.50x = 31,296,617,372.25
  5. Step 5: Solve for x
    x = 31,296,617,372.25/113,956.50
  6. Step 6: Final answer
    x = 274,636.53

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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.