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Finding the Third Proportional to 72,613 and 116,981

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Solution

The third proportional to 72,613 and 116,981 is: 188,458.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,613 : 116,981 = 116,981 : x
  2. Step 2: Convert to fraction form
    72,613/116,981 = 116,981/x
  3. Step 3: Cross multiply
    72,613x = 116,981 × 116,981
  4. Step 4: Simplify right side
    72,613x = 13,684,554,361
  5. Step 5: Solve for x
    x = 13,684,554,361/72,613
  6. Step 6: Final answer
    x = 188,458.74

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.