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Finding the Third Proportional to 68,274 and 147,924

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Solution

The third proportional to 68,274 and 147,924 is: 320,495.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,274 : 147,924 = 147,924 : x
  2. Step 2: Convert to fraction form
    68,274/147,924 = 147,924/x
  3. Step 3: Cross multiply
    68,274x = 147,924 × 147,924
  4. Step 4: Simplify right side
    68,274x = 21,881,509,776
  5. Step 5: Solve for x
    x = 21,881,509,776/68,274
  6. Step 6: Final answer
    x = 320,495.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.