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Finding the Third Proportional to 45,556 and 93,380

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Solution

The third proportional to 45,556 and 93,380 is: 191,408.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,556 : 93,380 = 93,380 : x
  2. Step 2: Convert to fraction form
    45,556/93,380 = 93,380/x
  3. Step 3: Cross multiply
    45,556x = 93,380 × 93,380
  4. Step 4: Simplify right side
    45,556x = 8,719,824,400
  5. Step 5: Solve for x
    x = 8,719,824,400/45,556
  6. Step 6: Final answer
    x = 191,408.91

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.