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Finding the Third Proportional to 64,549 and 141,878

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Solution

The third proportional to 64,549 and 141,878 is: 311,846.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,549 : 141,878 = 141,878 : x
  2. Step 2: Convert to fraction form
    64,549/141,878 = 141,878/x
  3. Step 3: Cross multiply
    64,549x = 141,878 × 141,878
  4. Step 4: Simplify right side
    64,549x = 20,129,366,884
  5. Step 5: Solve for x
    x = 20,129,366,884/64,549
  6. Step 6: Final answer
    x = 311,846.30

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.