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Finding the Third Proportional to 70,848 and 106,136

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Solution

The third proportional to 70,848 and 106,136 is: 159,000.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,848 : 106,136 = 106,136 : x
  2. Step 2: Convert to fraction form
    70,848/106,136 = 106,136/x
  3. Step 3: Cross multiply
    70,848x = 106,136 × 106,136
  4. Step 4: Simplify right side
    70,848x = 11,264,850,496
  5. Step 5: Solve for x
    x = 11,264,850,496/70,848
  6. Step 6: Final answer
    x = 159,000.26

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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.