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Finding the Third Proportional to 70,115 and 105,905.50

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Solution

The third proportional to 70,115 and 105,905.50 is: 159,965.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,115 : 105,905.50 = 105,905.50 : x
  2. Step 2: Convert to fraction form
    70,115/105,905.50 = 105,905.50/x
  3. Step 3: Cross multiply
    70,115x = 105,905.50 × 105,905.50
  4. Step 4: Simplify right side
    70,115x = 11,215,974,930.25
  5. Step 5: Solve for x
    x = 11,215,974,930.25/70,115
  6. Step 6: Final answer
    x = 159,965.41

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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.