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Finding the Third Proportional to 93,590 and 140,338

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Solution

The third proportional to 93,590 and 140,338 is: 210,436.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,590 : 140,338 = 140,338 : x
  2. Step 2: Convert to fraction form
    93,590/140,338 = 140,338/x
  3. Step 3: Cross multiply
    93,590x = 140,338 × 140,338
  4. Step 4: Simplify right side
    93,590x = 19,694,754,244
  5. Step 5: Solve for x
    x = 19,694,754,244/93,590
  6. Step 6: Final answer
    x = 210,436.52

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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.