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Finding the Third Proportional to 73,740.38 and 111,969.84

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Solution

The third proportional to 73,740.38 and 111,969.84 is: 170,018.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,740.38 : 111,969.84 = 111,969.84 : x
  2. Step 2: Convert to fraction form
    73,740.38/111,969.84 = 111,969.84/x
  3. Step 3: Cross multiply
    73,740.38x = 111,969.84 × 111,969.84
  4. Step 4: Simplify right side
    73,740.38x = 12,537,245,909.40
  5. Step 5: Solve for x
    x = 12,537,245,909.40/73,740.38
  6. Step 6: Final answer
    x = 170,018.74

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.