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Finding the Third Proportional to 53,994 and 118,725

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Solution

The third proportional to 53,994 and 118,725 is: 261,059.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,994 : 118,725 = 118,725 : x
  2. Step 2: Convert to fraction form
    53,994/118,725 = 118,725/x
  3. Step 3: Cross multiply
    53,994x = 118,725 × 118,725
  4. Step 4: Simplify right side
    53,994x = 14,095,625,625
  5. Step 5: Solve for x
    x = 14,095,625,625/53,994
  6. Step 6: Final answer
    x = 261,059.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.