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Finding the Third Proportional to 70,140 and 105,938

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Solution

The third proportional to 70,140 and 105,938 is: 160,006.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,140 : 105,938 = 105,938 : x
  2. Step 2: Convert to fraction form
    70,140/105,938 = 105,938/x
  3. Step 3: Cross multiply
    70,140x = 105,938 × 105,938
  4. Step 4: Simplify right side
    70,140x = 11,222,859,844
  5. Step 5: Solve for x
    x = 11,222,859,844/70,140
  6. Step 6: Final answer
    x = 160,006.56

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.