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Finding the Third Proportional to 65,520 and 136,223

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Solution

The third proportional to 65,520 and 136,223 is: 283,222.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,520 : 136,223 = 136,223 : x
  2. Step 2: Convert to fraction form
    65,520/136,223 = 136,223/x
  3. Step 3: Cross multiply
    65,520x = 136,223 × 136,223
  4. Step 4: Simplify right side
    65,520x = 18,556,705,729
  5. Step 5: Solve for x
    x = 18,556,705,729/65,520
  6. Step 6: Final answer
    x = 283,222.00

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.