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Finding the Third Proportional to 67,194 and 147,924

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Solution

The third proportional to 67,194 and 147,924 is: 325,646.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,194 : 147,924 = 147,924 : x
  2. Step 2: Convert to fraction form
    67,194/147,924 = 147,924/x
  3. Step 3: Cross multiply
    67,194x = 147,924 × 147,924
  4. Step 4: Simplify right side
    67,194x = 21,881,509,776
  5. Step 5: Solve for x
    x = 21,881,509,776/67,194
  6. Step 6: Final answer
    x = 325,646.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.