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Finding the Third Proportional to 70,573.50 and 110,693.25

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Solution

The third proportional to 70,573.50 and 110,693.25 is: 173,620.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,573.50 : 110,693.25 = 110,693.25 : x
  2. Step 2: Convert to fraction form
    70,573.50/110,693.25 = 110,693.25/x
  3. Step 3: Cross multiply
    70,573.50x = 110,693.25 × 110,693.25
  4. Step 4: Simplify right side
    70,573.50x = 12,252,995,595.56
  5. Step 5: Solve for x
    x = 12,252,995,595.56/70,573.50
  6. Step 6: Final answer
    x = 173,620.35

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.