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Finding the Third Proportional to 79,002 and 111,784

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Solution

The third proportional to 79,002 and 111,784 is: 158,168.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,002 : 111,784 = 111,784 : x
  2. Step 2: Convert to fraction form
    79,002/111,784 = 111,784/x
  3. Step 3: Cross multiply
    79,002x = 111,784 × 111,784
  4. Step 4: Simplify right side
    79,002x = 12,495,662,656
  5. Step 5: Solve for x
    x = 12,495,662,656/79,002
  6. Step 6: Final answer
    x = 158,168.94

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.