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Finding the Third Proportional to 70,186.50 and 110,290.50

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Solution

The third proportional to 70,186.50 and 110,290.50 is: 173,309.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,186.50 : 110,290.50 = 110,290.50 : x
  2. Step 2: Convert to fraction form
    70,186.50/110,290.50 = 110,290.50/x
  3. Step 3: Cross multiply
    70,186.50x = 110,290.50 × 110,290.50
  4. Step 4: Simplify right side
    70,186.50x = 12,163,994,390.25
  5. Step 5: Solve for x
    x = 12,163,994,390.25/70,186.50
  6. Step 6: Final answer
    x = 173,309.60

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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.