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Finding the Third Proportional to 97,632 and 146,064

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Solution

The third proportional to 97,632 and 146,064 is: 218,521.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,632 : 146,064 = 146,064 : x
  2. Step 2: Convert to fraction form
    97,632/146,064 = 146,064/x
  3. Step 3: Cross multiply
    97,632x = 146,064 × 146,064
  4. Step 4: Simplify right side
    97,632x = 21,334,692,096
  5. Step 5: Solve for x
    x = 21,334,692,096/97,632
  6. Step 6: Final answer
    x = 218,521.51

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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.