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Finding the Third Proportional to 63,285 and 92,429

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Solution

The third proportional to 63,285 and 92,429 is: 134,994.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,285 : 92,429 = 92,429 : x
  2. Step 2: Convert to fraction form
    63,285/92,429 = 92,429/x
  3. Step 3: Cross multiply
    63,285x = 92,429 × 92,429
  4. Step 4: Simplify right side
    63,285x = 8,543,120,041
  5. Step 5: Solve for x
    x = 8,543,120,041/63,285
  6. Step 6: Final answer
    x = 134,994.39

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.