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Finding the Third Proportional to 140,134 and 201,453

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Solution

The third proportional to 140,134 and 201,453 is: 289,603.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,134 : 201,453 = 201,453 : x
  2. Step 2: Convert to fraction form
    140,134/201,453 = 201,453/x
  3. Step 3: Cross multiply
    140,134x = 201,453 × 201,453
  4. Step 4: Simplify right side
    140,134x = 40,583,311,209
  5. Step 5: Solve for x
    x = 40,583,311,209/140,134
  6. Step 6: Final answer
    x = 289,603.60

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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.