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Finding the Third Proportional to 125,091 and 188,712

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Solution

The third proportional to 125,091 and 188,712 is: 284,690.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,091 : 188,712 = 188,712 : x
  2. Step 2: Convert to fraction form
    125,091/188,712 = 188,712/x
  3. Step 3: Cross multiply
    125,091x = 188,712 × 188,712
  4. Step 4: Simplify right side
    125,091x = 35,612,218,944
  5. Step 5: Solve for x
    x = 35,612,218,944/125,091
  6. Step 6: Final answer
    x = 284,690.50

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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.