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Finding the Third Proportional to 52,956 and 113,590

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Solution

The third proportional to 52,956 and 113,590 is: 243,649.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,956 : 113,590 = 113,590 : x
  2. Step 2: Convert to fraction form
    52,956/113,590 = 113,590/x
  3. Step 3: Cross multiply
    52,956x = 113,590 × 113,590
  4. Step 4: Simplify right side
    52,956x = 12,902,688,100
  5. Step 5: Solve for x
    x = 12,902,688,100/52,956
  6. Step 6: Final answer
    x = 243,649.22

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.