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Finding the Third Proportional to 63,186 and 92,308

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Solution

The third proportional to 63,186 and 92,308 is: 134,852.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,186 : 92,308 = 92,308 : x
  2. Step 2: Convert to fraction form
    63,186/92,308 = 92,308/x
  3. Step 3: Cross multiply
    63,186x = 92,308 × 92,308
  4. Step 4: Simplify right side
    63,186x = 8,520,766,864
  5. Step 5: Solve for x
    x = 8,520,766,864/63,186
  6. Step 6: Final answer
    x = 134,852.13

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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.