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Finding the Third Proportional to 97,773 and 146,226

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Solution

The third proportional to 97,773 and 146,226 is: 218,690.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,773 : 146,226 = 146,226 : x
  2. Step 2: Convert to fraction form
    97,773/146,226 = 146,226/x
  3. Step 3: Cross multiply
    97,773x = 146,226 × 146,226
  4. Step 4: Simplify right side
    97,773x = 21,382,043,076
  5. Step 5: Solve for x
    x = 21,382,043,076/97,773
  6. Step 6: Final answer
    x = 218,690.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.