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Finding the Third Proportional to 100,842 and 146,532

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Solution

The third proportional to 100,842 and 146,532 is: 212,923.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,842 : 146,532 = 146,532 : x
  2. Step 2: Convert to fraction form
    100,842/146,532 = 146,532/x
  3. Step 3: Cross multiply
    100,842x = 146,532 × 146,532
  4. Step 4: Simplify right side
    100,842x = 21,471,627,024
  5. Step 5: Solve for x
    x = 21,471,627,024/100,842
  6. Step 6: Final answer
    x = 212,923.45

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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.