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Finding the Third Proportional to 70,729 and 96,114

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Solution

The third proportional to 70,729 and 96,114 is: 130,609.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,729 : 96,114 = 96,114 : x
  2. Step 2: Convert to fraction form
    70,729/96,114 = 96,114/x
  3. Step 3: Cross multiply
    70,729x = 96,114 × 96,114
  4. Step 4: Simplify right side
    70,729x = 9,237,900,996
  5. Step 5: Solve for x
    x = 9,237,900,996/70,729
  6. Step 6: Final answer
    x = 130,609.81

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.