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Finding the Third Proportional to 41,805 and 90,140.63

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Solution

The third proportional to 41,805 and 90,140.63 is: 194,362.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,805 : 90,140.63 = 90,140.63 : x
  2. Step 2: Convert to fraction form
    41,805/90,140.63 = 90,140.63/x
  3. Step 3: Cross multiply
    41,805x = 90,140.63 × 90,140.63
  4. Step 4: Simplify right side
    41,805x = 8,125,332,275.39
  5. Step 5: Solve for x
    x = 8,125,332,275.39/41,805
  6. Step 6: Final answer
    x = 194,362.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.