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Finding the Third Proportional to 119,892 and 186,276

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Solution

The third proportional to 119,892 and 186,276 is: 289,416.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,892 : 186,276 = 186,276 : x
  2. Step 2: Convert to fraction form
    119,892/186,276 = 186,276/x
  3. Step 3: Cross multiply
    119,892x = 186,276 × 186,276
  4. Step 4: Simplify right side
    119,892x = 34,698,748,176
  5. Step 5: Solve for x
    x = 34,698,748,176/119,892
  6. Step 6: Final answer
    x = 289,416.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.