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Finding the Third Proportional to 117,613.13 and 176,685.56

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Solution

The third proportional to 117,613.13 and 176,685.56 is: 265,427.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,613.13 : 176,685.56 = 176,685.56 : x
  2. Step 2: Convert to fraction form
    117,613.13/176,685.56 = 176,685.56/x
  3. Step 3: Cross multiply
    117,613.13x = 176,685.56 × 176,685.56
  4. Step 4: Simplify right side
    117,613.13x = 31,217,787,995.94
  5. Step 5: Solve for x
    x = 31,217,787,995.94/117,613.13
  6. Step 6: Final answer
    x = 265,427.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.