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Finding the Third Proportional to 52,859 and 110,090

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Solution

The third proportional to 52,859 and 110,090 is: 229,285.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,859 : 110,090 = 110,090 : x
  2. Step 2: Convert to fraction form
    52,859/110,090 = 110,090/x
  3. Step 3: Cross multiply
    52,859x = 110,090 × 110,090
  4. Step 4: Simplify right side
    52,859x = 12,119,808,100
  5. Step 5: Solve for x
    x = 12,119,808,100/52,859
  6. Step 6: Final answer
    x = 229,285.61

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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.