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Finding the Third Proportional to 52,820 and 106,504

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Solution

The third proportional to 52,820 and 106,504 is: 214,750.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,820 : 106,504 = 106,504 : x
  2. Step 2: Convert to fraction form
    52,820/106,504 = 106,504/x
  3. Step 3: Cross multiply
    52,820x = 106,504 × 106,504
  4. Step 4: Simplify right side
    52,820x = 11,343,102,016
  5. Step 5: Solve for x
    x = 11,343,102,016/52,820
  6. Step 6: Final answer
    x = 214,750.13

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.