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Finding the Third Proportional to 45,625.50 and 93,438

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Solution

The third proportional to 45,625.50 and 93,438 is: 191,354.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,625.50 : 93,438 = 93,438 : x
  2. Step 2: Convert to fraction form
    45,625.50/93,438 = 93,438/x
  3. Step 3: Cross multiply
    45,625.50x = 93,438 × 93,438
  4. Step 4: Simplify right side
    45,625.50x = 8,730,659,844
  5. Step 5: Solve for x
    x = 8,730,659,844/45,625.50
  6. Step 6: Final answer
    x = 191,354.83

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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.