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Finding the Third Proportional to 70,972 and 118,280

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Solution

The third proportional to 70,972 and 118,280 is: 197,122.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,972 : 118,280 = 118,280 : x
  2. Step 2: Convert to fraction form
    70,972/118,280 = 118,280/x
  3. Step 3: Cross multiply
    70,972x = 118,280 × 118,280
  4. Step 4: Simplify right side
    70,972x = 13,990,158,400
  5. Step 5: Solve for x
    x = 13,990,158,400/70,972
  6. Step 6: Final answer
    x = 197,122.22

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.