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Finding the Third Proportional to 45,860 and 93,192

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Solution

The third proportional to 45,860 and 93,192 is: 189,375.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,860 : 93,192 = 93,192 : x
  2. Step 2: Convert to fraction form
    45,860/93,192 = 93,192/x
  3. Step 3: Cross multiply
    45,860x = 93,192 × 93,192
  4. Step 4: Simplify right side
    45,860x = 8,684,748,864
  5. Step 5: Solve for x
    x = 8,684,748,864/45,860
  6. Step 6: Final answer
    x = 189,375.25

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.