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Finding the Third Proportional to 125,917 and 190,088

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Solution

The third proportional to 125,917 and 190,088 is: 286,962.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,917 : 190,088 = 190,088 : x
  2. Step 2: Convert to fraction form
    125,917/190,088 = 190,088/x
  3. Step 3: Cross multiply
    125,917x = 190,088 × 190,088
  4. Step 4: Simplify right side
    125,917x = 36,133,447,744
  5. Step 5: Solve for x
    x = 36,133,447,744/125,917
  6. Step 6: Final answer
    x = 286,962.43

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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.