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Finding the Third Proportional to 125,924 and 190,099

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Solution

The third proportional to 125,924 and 190,099 is: 286,979.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,924 : 190,099 = 190,099 : x
  2. Step 2: Convert to fraction form
    125,924/190,099 = 190,099/x
  3. Step 3: Cross multiply
    125,924x = 190,099 × 190,099
  4. Step 4: Simplify right side
    125,924x = 36,137,629,801
  5. Step 5: Solve for x
    x = 36,137,629,801/125,924
  6. Step 6: Final answer
    x = 286,979.68

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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.