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Finding the Third Proportional to 93,879 and 141,616.50

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Solution

The third proportional to 93,879 and 141,616.50 is: 213,628.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,879 : 141,616.50 = 141,616.50 : x
  2. Step 2: Convert to fraction form
    93,879/141,616.50 = 141,616.50/x
  3. Step 3: Cross multiply
    93,879x = 141,616.50 × 141,616.50
  4. Step 4: Simplify right side
    93,879x = 20,055,233,072.25
  5. Step 5: Solve for x
    x = 20,055,233,072.25/93,879
  6. Step 6: Final answer
    x = 213,628.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.