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Finding the Third Proportional to 53,922 and 115,650

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Solution

The third proportional to 53,922 and 115,650 is: 248,042.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,922 : 115,650 = 115,650 : x
  2. Step 2: Convert to fraction form
    53,922/115,650 = 115,650/x
  3. Step 3: Cross multiply
    53,922x = 115,650 × 115,650
  4. Step 4: Simplify right side
    53,922x = 13,374,922,500
  5. Step 5: Solve for x
    x = 13,374,922,500/53,922
  6. Step 6: Final answer
    x = 248,042.03

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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.