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Finding the Third Proportional to 113,690.25 and 176,529.38

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Solution

The third proportional to 113,690.25 and 176,529.38 is: 274,101.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,690.25 : 176,529.38 = 176,529.38 : x
  2. Step 2: Convert to fraction form
    113,690.25/176,529.38 = 176,529.38/x
  3. Step 3: Cross multiply
    113,690.25x = 176,529.38 × 176,529.38
  4. Step 4: Simplify right side
    113,690.25x = 31,162,620,237.89
  5. Step 5: Solve for x
    x = 31,162,620,237.89/113,690.25
  6. Step 6: Final answer
    x = 274,101.08

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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.