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Finding the Third Proportional to 118,937 and 169,111

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Solution

The third proportional to 118,937 and 169,111 is: 240,451.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,937 : 169,111 = 169,111 : x
  2. Step 2: Convert to fraction form
    118,937/169,111 = 169,111/x
  3. Step 3: Cross multiply
    118,937x = 169,111 × 169,111
  4. Step 4: Simplify right side
    118,937x = 28,598,530,321
  5. Step 5: Solve for x
    x = 28,598,530,321/118,937
  6. Step 6: Final answer
    x = 240,451.08

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.