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Finding the Third Proportional to 67,301 and 97,818

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Solution

The third proportional to 67,301 and 97,818 is: 142,172.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,301 : 97,818 = 97,818 : x
  2. Step 2: Convert to fraction form
    67,301/97,818 = 97,818/x
  3. Step 3: Cross multiply
    67,301x = 97,818 × 97,818
  4. Step 4: Simplify right side
    67,301x = 9,568,361,124
  5. Step 5: Solve for x
    x = 9,568,361,124/67,301
  6. Step 6: Final answer
    x = 142,172.64

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.