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Finding the Third Proportional to 52,098 and 112,938

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Solution

The third proportional to 52,098 and 112,938 is: 244,826.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,098 : 112,938 = 112,938 : x
  2. Step 2: Convert to fraction form
    52,098/112,938 = 112,938/x
  3. Step 3: Cross multiply
    52,098x = 112,938 × 112,938
  4. Step 4: Simplify right side
    52,098x = 12,754,991,844
  5. Step 5: Solve for x
    x = 12,754,991,844/52,098
  6. Step 6: Final answer
    x = 244,826.90

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.