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Finding the Third Proportional to 92,508 and 139,412

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Solution

The third proportional to 92,508 and 139,412 is: 210,097.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,508 : 139,412 = 139,412 : x
  2. Step 2: Convert to fraction form
    92,508/139,412 = 139,412/x
  3. Step 3: Cross multiply
    92,508x = 139,412 × 139,412
  4. Step 4: Simplify right side
    92,508x = 19,435,705,744
  5. Step 5: Solve for x
    x = 19,435,705,744/92,508
  6. Step 6: Final answer
    x = 210,097.57

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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.