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Finding the Third Proportional to 116,958.94 and 176,269.92

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Solution

The third proportional to 116,958.94 and 176,269.92 is: 265,658.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,958.94 : 176,269.92 = 176,269.92 : x
  2. Step 2: Convert to fraction form
    116,958.94/176,269.92 = 176,269.92/x
  3. Step 3: Cross multiply
    116,958.94x = 176,269.92 × 176,269.92
  4. Step 4: Simplify right side
    116,958.94x = 31,071,085,357.82
  5. Step 5: Solve for x
    x = 31,071,085,357.82/116,958.94
  6. Step 6: Final answer
    x = 265,658.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.