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Finding the Third Proportional to 92,306 and 138,305

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Solution

The third proportional to 92,306 and 138,305 is: 207,226.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,306 : 138,305 = 138,305 : x
  2. Step 2: Convert to fraction form
    92,306/138,305 = 138,305/x
  3. Step 3: Cross multiply
    92,306x = 138,305 × 138,305
  4. Step 4: Simplify right side
    92,306x = 19,128,273,025
  5. Step 5: Solve for x
    x = 19,128,273,025/92,306
  6. Step 6: Final answer
    x = 207,226.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.