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Finding the Third Proportional to 72,307.69 and 108,034.38

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Solution

The third proportional to 72,307.69 and 108,034.38 is: 161,413.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,307.69 : 108,034.38 = 108,034.38 : x
  2. Step 2: Convert to fraction form
    72,307.69/108,034.38 = 108,034.38/x
  3. Step 3: Cross multiply
    72,307.69x = 108,034.38 × 108,034.38
  4. Step 4: Simplify right side
    72,307.69x = 11,671,427,869.68
  5. Step 5: Solve for x
    x = 11,671,427,869.68/72,307.69
  6. Step 6: Final answer
    x = 161,413.37

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.