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Finding the Third Proportional to 70,968 and 106,748

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Solution

The third proportional to 70,968 and 106,748 is: 160,567.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,968 : 106,748 = 106,748 : x
  2. Step 2: Convert to fraction form
    70,968/106,748 = 106,748/x
  3. Step 3: Cross multiply
    70,968x = 106,748 × 106,748
  4. Step 4: Simplify right side
    70,968x = 11,395,135,504
  5. Step 5: Solve for x
    x = 11,395,135,504/70,968
  6. Step 6: Final answer
    x = 160,567.23

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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.