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Finding the Third Proportional to 105,234 and 158,944

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Solution

The third proportional to 105,234 and 158,944 is: 240,066.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,234 : 158,944 = 158,944 : x
  2. Step 2: Convert to fraction form
    105,234/158,944 = 158,944/x
  3. Step 3: Cross multiply
    105,234x = 158,944 × 158,944
  4. Step 4: Simplify right side
    105,234x = 25,263,195,136
  5. Step 5: Solve for x
    x = 25,263,195,136/105,234
  6. Step 6: Final answer
    x = 240,066.85

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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.