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Finding the Third Proportional to 140,061 and 201,344

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Solution

The third proportional to 140,061 and 201,344 is: 289,441.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,061 : 201,344 = 201,344 : x
  2. Step 2: Convert to fraction form
    140,061/201,344 = 201,344/x
  3. Step 3: Cross multiply
    140,061x = 201,344 × 201,344
  4. Step 4: Simplify right side
    140,061x = 40,539,406,336
  5. Step 5: Solve for x
    x = 40,539,406,336/140,061
  6. Step 6: Final answer
    x = 289,441.07

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.