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Finding the Third Proportional to 63,363 and 134,466

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Solution

The third proportional to 63,363 and 134,466 is: 285,357.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,363 : 134,466 = 134,466 : x
  2. Step 2: Convert to fraction form
    63,363/134,466 = 134,466/x
  3. Step 3: Cross multiply
    63,363x = 134,466 × 134,466
  4. Step 4: Simplify right side
    63,363x = 18,081,105,156
  5. Step 5: Solve for x
    x = 18,081,105,156/63,363
  6. Step 6: Final answer
    x = 285,357.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.