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Finding the Third Proportional to 116,992.69 and 176,316.75

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Solution

The third proportional to 116,992.69 and 176,316.75 is: 265,722.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,992.69 : 176,316.75 = 176,316.75 : x
  2. Step 2: Convert to fraction form
    116,992.69/176,316.75 = 176,316.75/x
  3. Step 3: Cross multiply
    116,992.69x = 176,316.75 × 176,316.75
  4. Step 4: Simplify right side
    116,992.69x = 31,087,596,330.56
  5. Step 5: Solve for x
    x = 31,087,596,330.56/116,992.69
  6. Step 6: Final answer
    x = 265,722.56

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