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Finding the Third Proportional to 109,944 and 162,486

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Solution

The third proportional to 109,944 and 162,486 is: 240,137.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,944 : 162,486 = 162,486 : x
  2. Step 2: Convert to fraction form
    109,944/162,486 = 162,486/x
  3. Step 3: Cross multiply
    109,944x = 162,486 × 162,486
  4. Step 4: Simplify right side
    109,944x = 26,401,700,196
  5. Step 5: Solve for x
    x = 26,401,700,196/109,944
  6. Step 6: Final answer
    x = 240,137.71

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.