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Finding the Third Proportional to 52,826 and 106,516

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Solution

The third proportional to 52,826 and 106,516 is: 214,774.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,826 : 106,516 = 106,516 : x
  2. Step 2: Convert to fraction form
    52,826/106,516 = 106,516/x
  3. Step 3: Cross multiply
    52,826x = 106,516 × 106,516
  4. Step 4: Simplify right side
    52,826x = 11,345,658,256
  5. Step 5: Solve for x
    x = 11,345,658,256/52,826
  6. Step 6: Final answer
    x = 214,774.13

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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.