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Finding the Third Proportional to 125,926 and 190,102

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Solution

The third proportional to 125,926 and 190,102 is: 286,984.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,926 : 190,102 = 190,102 : x
  2. Step 2: Convert to fraction form
    125,926/190,102 = 190,102/x
  3. Step 3: Cross multiply
    125,926x = 190,102 × 190,102
  4. Step 4: Simplify right side
    125,926x = 36,138,770,404
  5. Step 5: Solve for x
    x = 36,138,770,404/125,926
  6. Step 6: Final answer
    x = 286,984.18

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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.