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Finding the Third Proportional to 45,076.50 and 68,677.88

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Solution

The third proportional to 45,076.50 and 68,677.88 is: 104,636.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,076.50 : 68,677.88 = 68,677.88 : x
  2. Step 2: Convert to fraction form
    45,076.50/68,677.88 = 68,677.88/x
  3. Step 3: Cross multiply
    45,076.50x = 68,677.88 × 68,677.88
  4. Step 4: Simplify right side
    45,076.50x = 4,716,650,514.52
  5. Step 5: Solve for x
    x = 4,716,650,514.52/45,076.50
  6. Step 6: Final answer
    x = 104,636.57

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.