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Finding the Third Proportional to 133,651.69 and 176,663.53

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Solution

The third proportional to 133,651.69 and 176,663.53 is: 233,517.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,651.69 : 176,663.53 = 176,663.53 : x
  2. Step 2: Convert to fraction form
    133,651.69/176,663.53 = 176,663.53/x
  3. Step 3: Cross multiply
    133,651.69x = 176,663.53 × 176,663.53
  4. Step 4: Simplify right side
    133,651.69x = 31,210,003,273.72
  5. Step 5: Solve for x
    x = 31,210,003,273.72/133,651.69
  6. Step 6: Final answer
    x = 233,517.47

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.