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Finding the Third Proportional to 63,878.50 and 134,378

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Solution

The third proportional to 63,878.50 and 134,378 is: 282,684.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,878.50 : 134,378 = 134,378 : x
  2. Step 2: Convert to fraction form
    63,878.50/134,378 = 134,378/x
  3. Step 3: Cross multiply
    63,878.50x = 134,378 × 134,378
  4. Step 4: Simplify right side
    63,878.50x = 18,057,446,884
  5. Step 5: Solve for x
    x = 18,057,446,884/63,878.50
  6. Step 6: Final answer
    x = 282,684.27

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.