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Finding the Third Proportional to 79,954 and 185,117

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Solution

The third proportional to 79,954 and 185,117 is: 428,600.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,954 : 185,117 = 185,117 : x
  2. Step 2: Convert to fraction form
    79,954/185,117 = 185,117/x
  3. Step 3: Cross multiply
    79,954x = 185,117 × 185,117
  4. Step 4: Simplify right side
    79,954x = 34,268,303,689
  5. Step 5: Solve for x
    x = 34,268,303,689/79,954
  6. Step 6: Final answer
    x = 428,600.24

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.