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Finding the Third Proportional to 113,666 and 176,235

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Solution

The third proportional to 113,666 and 176,235 is: 273,245.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,666 : 176,235 = 176,235 : x
  2. Step 2: Convert to fraction form
    113,666/176,235 = 176,235/x
  3. Step 3: Cross multiply
    113,666x = 176,235 × 176,235
  4. Step 4: Simplify right side
    113,666x = 31,058,775,225
  5. Step 5: Solve for x
    x = 31,058,775,225/113,666
  6. Step 6: Final answer
    x = 273,245.96

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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.