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Finding the Third Proportional to 92,246 and 139,217

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Solution

The third proportional to 92,246 and 139,217 is: 210,105.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,246 : 139,217 = 139,217 : x
  2. Step 2: Convert to fraction form
    92,246/139,217 = 139,217/x
  3. Step 3: Cross multiply
    92,246x = 139,217 × 139,217
  4. Step 4: Simplify right side
    92,246x = 19,381,373,089
  5. Step 5: Solve for x
    x = 19,381,373,089/92,246
  6. Step 6: Final answer
    x = 210,105.30

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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.