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Finding the Third Proportional to 93,924 and 140,406

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Solution

The third proportional to 93,924 and 140,406 is: 209,891.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,924 : 140,406 = 140,406 : x
  2. Step 2: Convert to fraction form
    93,924/140,406 = 140,406/x
  3. Step 3: Cross multiply
    93,924x = 140,406 × 140,406
  4. Step 4: Simplify right side
    93,924x = 19,713,844,836
  5. Step 5: Solve for x
    x = 19,713,844,836/93,924
  6. Step 6: Final answer
    x = 209,891.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.