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Finding the Third Proportional to 52,190 and 114,226

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Solution

The third proportional to 52,190 and 114,226 is: 250,001.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,190 : 114,226 = 114,226 : x
  2. Step 2: Convert to fraction form
    52,190/114,226 = 114,226/x
  3. Step 3: Cross multiply
    52,190x = 114,226 × 114,226
  4. Step 4: Simplify right side
    52,190x = 13,047,579,076
  5. Step 5: Solve for x
    x = 13,047,579,076/52,190
  6. Step 6: Final answer
    x = 250,001.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.