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Finding the Third Proportional to 63,484 and 135,713

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Solution

The third proportional to 63,484 and 135,713 is: 290,120.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,484 : 135,713 = 135,713 : x
  2. Step 2: Convert to fraction form
    63,484/135,713 = 135,713/x
  3. Step 3: Cross multiply
    63,484x = 135,713 × 135,713
  4. Step 4: Simplify right side
    63,484x = 18,418,018,369
  5. Step 5: Solve for x
    x = 18,418,018,369/63,484
  6. Step 6: Final answer
    x = 290,120.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.