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Finding the Third Proportional to 125,093 and 188,715

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Solution

The third proportional to 125,093 and 188,715 is: 284,695.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,093 : 188,715 = 188,715 : x
  2. Step 2: Convert to fraction form
    125,093/188,715 = 188,715/x
  3. Step 3: Cross multiply
    125,093x = 188,715 × 188,715
  4. Step 4: Simplify right side
    125,093x = 35,613,351,225
  5. Step 5: Solve for x
    x = 35,613,351,225/125,093
  6. Step 6: Final answer
    x = 284,695.00

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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.