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Finding the Third Proportional to 92,751 and 139,146

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Solution

The third proportional to 92,751 and 139,146 is: 208,748.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,751 : 139,146 = 139,146 : x
  2. Step 2: Convert to fraction form
    92,751/139,146 = 139,146/x
  3. Step 3: Cross multiply
    92,751x = 139,146 × 139,146
  4. Step 4: Simplify right side
    92,751x = 19,361,609,316
  5. Step 5: Solve for x
    x = 19,361,609,316/92,751
  6. Step 6: Final answer
    x = 208,748.25

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