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Finding the Third Proportional to 53,496 and 114,399

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Solution

The third proportional to 53,496 and 114,399 is: 244,637.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,496 : 114,399 = 114,399 : x
  2. Step 2: Convert to fraction form
    53,496/114,399 = 114,399/x
  3. Step 3: Cross multiply
    53,496x = 114,399 × 114,399
  4. Step 4: Simplify right side
    53,496x = 13,087,131,201
  5. Step 5: Solve for x
    x = 13,087,131,201/53,496
  6. Step 6: Final answer
    x = 244,637.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.