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Finding the Third Proportional to 97,632 and 146,062

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Solution

The third proportional to 97,632 and 146,062 is: 218,515.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,632 : 146,062 = 146,062 : x
  2. Step 2: Convert to fraction form
    97,632/146,062 = 146,062/x
  3. Step 3: Cross multiply
    97,632x = 146,062 × 146,062
  4. Step 4: Simplify right side
    97,632x = 21,334,107,844
  5. Step 5: Solve for x
    x = 21,334,107,844/97,632
  6. Step 6: Final answer
    x = 218,515.53

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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.