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Finding the Third Proportional to 60,203.25 and 93,524.63

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Solution

The third proportional to 60,203.25 and 93,524.63 is: 145,288.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,203.25 : 93,524.63 = 93,524.63 : x
  2. Step 2: Convert to fraction form
    60,203.25/93,524.63 = 93,524.63/x
  3. Step 3: Cross multiply
    60,203.25x = 93,524.63 × 93,524.63
  4. Step 4: Simplify right side
    60,203.25x = 8,746,855,481.39
  5. Step 5: Solve for x
    x = 8,746,855,481.39/60,203.25
  6. Step 6: Final answer
    x = 145,288.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.