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Finding the Third Proportional to 70,158 and 105,317

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Solution

The third proportional to 70,158 and 105,317 is: 158,095.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,158 : 105,317 = 105,317 : x
  2. Step 2: Convert to fraction form
    70,158/105,317 = 105,317/x
  3. Step 3: Cross multiply
    70,158x = 105,317 × 105,317
  4. Step 4: Simplify right side
    70,158x = 11,091,670,489
  5. Step 5: Solve for x
    x = 11,091,670,489/70,158
  6. Step 6: Final answer
    x = 158,095.59

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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.