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Finding the Third Proportional to 53,467 and 115,407

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Solution

The third proportional to 53,467 and 115,407 is: 249,102.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,467 : 115,407 = 115,407 : x
  2. Step 2: Convert to fraction form
    53,467/115,407 = 115,407/x
  3. Step 3: Cross multiply
    53,467x = 115,407 × 115,407
  4. Step 4: Simplify right side
    53,467x = 13,318,775,649
  5. Step 5: Solve for x
    x = 13,318,775,649/53,467
  6. Step 6: Final answer
    x = 249,102.73

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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.