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Finding the Third Proportional to 92,204 and 139,154

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Solution

The third proportional to 92,204 and 139,154 is: 210,010.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,204 : 139,154 = 139,154 : x
  2. Step 2: Convert to fraction form
    92,204/139,154 = 139,154/x
  3. Step 3: Cross multiply
    92,204x = 139,154 × 139,154
  4. Step 4: Simplify right side
    92,204x = 19,363,835,716
  5. Step 5: Solve for x
    x = 19,363,835,716/92,204
  6. Step 6: Final answer
    x = 210,010.80

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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.