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Finding the Third Proportional to 105,133 and 158,793

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Solution

The third proportional to 105,133 and 158,793 is: 239,841.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,133 : 158,793 = 158,793 : x
  2. Step 2: Convert to fraction form
    105,133/158,793 = 158,793/x
  3. Step 3: Cross multiply
    105,133x = 158,793 × 158,793
  4. Step 4: Simplify right side
    105,133x = 25,215,216,849
  5. Step 5: Solve for x
    x = 25,215,216,849/105,133
  6. Step 6: Final answer
    x = 239,841.12

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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.