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Finding the Third Proportional to 106,188 and 160,641

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Solution

The third proportional to 106,188 and 160,641 is: 243,017.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,188 : 160,641 = 160,641 : x
  2. Step 2: Convert to fraction form
    106,188/160,641 = 160,641/x
  3. Step 3: Cross multiply
    106,188x = 160,641 × 160,641
  4. Step 4: Simplify right side
    106,188x = 25,805,530,881
  5. Step 5: Solve for x
    x = 25,805,530,881/106,188
  6. Step 6: Final answer
    x = 243,017.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.