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Finding the Third Proportional to 118,104 and 159,111

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Solution

The third proportional to 118,104 and 159,111 is: 214,356.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,104 : 159,111 = 159,111 : x
  2. Step 2: Convert to fraction form
    118,104/159,111 = 159,111/x
  3. Step 3: Cross multiply
    118,104x = 159,111 × 159,111
  4. Step 4: Simplify right side
    118,104x = 25,316,310,321
  5. Step 5: Solve for x
    x = 25,316,310,321/118,104
  6. Step 6: Final answer
    x = 214,356.08

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.