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Finding the Third Proportional to 125,928 and 190,105

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Solution

The third proportional to 125,928 and 190,105 is: 286,988.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,928 : 190,105 = 190,105 : x
  2. Step 2: Convert to fraction form
    125,928/190,105 = 190,105/x
  3. Step 3: Cross multiply
    125,928x = 190,105 × 190,105
  4. Step 4: Simplify right side
    125,928x = 36,139,911,025
  5. Step 5: Solve for x
    x = 36,139,911,025/125,928
  6. Step 6: Final answer
    x = 286,988.68

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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.