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Finding the Third Proportional to 116,131 and 169,715

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Solution

The third proportional to 116,131 and 169,715 is: 248,023.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,131 : 169,715 = 169,715 : x
  2. Step 2: Convert to fraction form
    116,131/169,715 = 169,715/x
  3. Step 3: Cross multiply
    116,131x = 169,715 × 169,715
  4. Step 4: Simplify right side
    116,131x = 28,803,181,225
  5. Step 5: Solve for x
    x = 28,803,181,225/116,131
  6. Step 6: Final answer
    x = 248,023.19

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.