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Finding the Third Proportional to 76,042.50 and 113,441

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Solution

The third proportional to 76,042.50 and 113,441 is: 169,232.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,042.50 : 113,441 = 113,441 : x
  2. Step 2: Convert to fraction form
    76,042.50/113,441 = 113,441/x
  3. Step 3: Cross multiply
    76,042.50x = 113,441 × 113,441
  4. Step 4: Simplify right side
    76,042.50x = 12,868,860,481
  5. Step 5: Solve for x
    x = 12,868,860,481/76,042.50
  6. Step 6: Final answer
    x = 169,232.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.