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Finding the Third Proportional to 70,728 and 106,095

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Solution

The third proportional to 70,728 and 106,095 is: 159,147.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,728 : 106,095 = 106,095 : x
  2. Step 2: Convert to fraction form
    70,728/106,095 = 106,095/x
  3. Step 3: Cross multiply
    70,728x = 106,095 × 106,095
  4. Step 4: Simplify right side
    70,728x = 11,256,149,025
  5. Step 5: Solve for x
    x = 11,256,149,025/70,728
  6. Step 6: Final answer
    x = 159,147.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.