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Finding the Third Proportional to 53,202 and 114,245

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Solution

The third proportional to 53,202 and 114,245 is: 245,327.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,202 : 114,245 = 114,245 : x
  2. Step 2: Convert to fraction form
    53,202/114,245 = 114,245/x
  3. Step 3: Cross multiply
    53,202x = 114,245 × 114,245
  4. Step 4: Simplify right side
    53,202x = 13,051,920,025
  5. Step 5: Solve for x
    x = 13,051,920,025/53,202
  6. Step 6: Final answer
    x = 245,327.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.