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Finding the Third Proportional to 45,765 and 94,353.75

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Solution

The third proportional to 45,765 and 94,353.75 is: 194,529.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,765 : 94,353.75 = 94,353.75 : x
  2. Step 2: Convert to fraction form
    45,765/94,353.75 = 94,353.75/x
  3. Step 3: Cross multiply
    45,765x = 94,353.75 × 94,353.75
  4. Step 4: Simplify right side
    45,765x = 8,902,630,139.06
  5. Step 5: Solve for x
    x = 8,902,630,139.06/45,765
  6. Step 6: Final answer
    x = 194,529.23

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.