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Finding the Third Proportional to 53,441 and 115,447

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Solution

The third proportional to 53,441 and 115,447 is: 249,396.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,441 : 115,447 = 115,447 : x
  2. Step 2: Convert to fraction form
    53,441/115,447 = 115,447/x
  3. Step 3: Cross multiply
    53,441x = 115,447 × 115,447
  4. Step 4: Simplify right side
    53,441x = 13,328,009,809
  5. Step 5: Solve for x
    x = 13,328,009,809/53,441
  6. Step 6: Final answer
    x = 249,396.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.