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Finding the Third Proportional to 53,648 and 114,225

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Solution

The third proportional to 53,648 and 114,225 is: 243,202.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,648 : 114,225 = 114,225 : x
  2. Step 2: Convert to fraction form
    53,648/114,225 = 114,225/x
  3. Step 3: Cross multiply
    53,648x = 114,225 × 114,225
  4. Step 4: Simplify right side
    53,648x = 13,047,350,625
  5. Step 5: Solve for x
    x = 13,047,350,625/53,648
  6. Step 6: Final answer
    x = 243,202.93

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.