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Finding the Third Proportional to 72,442.69 and 152,751.38

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Solution

The third proportional to 72,442.69 and 152,751.38 is: 322,088.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,442.69 : 152,751.38 = 152,751.38 : x
  2. Step 2: Convert to fraction form
    72,442.69/152,751.38 = 152,751.38/x
  3. Step 3: Cross multiply
    72,442.69x = 152,751.38 × 152,751.38
  4. Step 4: Simplify right side
    72,442.69x = 23,332,982,564.39
  5. Step 5: Solve for x
    x = 23,332,982,564.39/72,442.69
  6. Step 6: Final answer
    x = 322,088.86

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.