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Finding the Third Proportional to 121,173.75 and 258,842.25

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Solution

The third proportional to 121,173.75 and 258,842.25 is: 552,919.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,173.75 : 258,842.25 = 258,842.25 : x
  2. Step 2: Convert to fraction form
    121,173.75/258,842.25 = 258,842.25/x
  3. Step 3: Cross multiply
    121,173.75x = 258,842.25 × 258,842.25
  4. Step 4: Simplify right side
    121,173.75x = 66,999,310,385.06
  5. Step 5: Solve for x
    x = 66,999,310,385.06/121,173.75
  6. Step 6: Final answer
    x = 552,919.34

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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.