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Finding the Third Proportional to 118,994 and 158,641

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Solution

The third proportional to 118,994 and 158,641 is: 211,497.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,994 : 158,641 = 158,641 : x
  2. Step 2: Convert to fraction form
    118,994/158,641 = 158,641/x
  3. Step 3: Cross multiply
    118,994x = 158,641 × 158,641
  4. Step 4: Simplify right side
    118,994x = 25,166,966,881
  5. Step 5: Solve for x
    x = 25,166,966,881/118,994
  6. Step 6: Final answer
    x = 211,497.78

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.