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Finding the Third Proportional to 90,680 and 140,064

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Solution

The third proportional to 90,680 and 140,064 is: 216,342.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,680 : 140,064 = 140,064 : x
  2. Step 2: Convert to fraction form
    90,680/140,064 = 140,064/x
  3. Step 3: Cross multiply
    90,680x = 140,064 × 140,064
  4. Step 4: Simplify right side
    90,680x = 19,617,924,096
  5. Step 5: Solve for x
    x = 19,617,924,096/90,680
  6. Step 6: Final answer
    x = 216,342.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.