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Finding the Third Proportional to 44,461.50 and 79,063.50

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Solution

The third proportional to 44,461.50 and 79,063.50 is: 140,594.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,461.50 : 79,063.50 = 79,063.50 : x
  2. Step 2: Convert to fraction form
    44,461.50/79,063.50 = 79,063.50/x
  3. Step 3: Cross multiply
    44,461.50x = 79,063.50 × 79,063.50
  4. Step 4: Simplify right side
    44,461.50x = 6,251,037,032.25
  5. Step 5: Solve for x
    x = 6,251,037,032.25/44,461.50
  6. Step 6: Final answer
    x = 140,594.38

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.