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Finding the Third Proportional to 92,956 and 139,646

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Solution

The third proportional to 92,956 and 139,646 is: 209,787.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,956 : 139,646 = 139,646 : x
  2. Step 2: Convert to fraction form
    92,956/139,646 = 139,646/x
  3. Step 3: Cross multiply
    92,956x = 139,646 × 139,646
  4. Step 4: Simplify right side
    92,956x = 19,501,005,316
  5. Step 5: Solve for x
    x = 19,501,005,316/92,956
  6. Step 6: Final answer
    x = 209,787.48

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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.