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Finding the Third Proportional to 140,675 and 201,513

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Solution

The third proportional to 140,675 and 201,513 is: 288,661.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,675 : 201,513 = 201,513 : x
  2. Step 2: Convert to fraction form
    140,675/201,513 = 201,513/x
  3. Step 3: Cross multiply
    140,675x = 201,513 × 201,513
  4. Step 4: Simplify right side
    140,675x = 40,607,489,169
  5. Step 5: Solve for x
    x = 40,607,489,169/140,675
  6. Step 6: Final answer
    x = 288,661.73

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.