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Finding the Third Proportional to 57,309.75 and 121,999.50

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Solution

The third proportional to 57,309.75 and 121,999.50 is: 259,709.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,309.75 : 121,999.50 = 121,999.50 : x
  2. Step 2: Convert to fraction form
    57,309.75/121,999.50 = 121,999.50/x
  3. Step 3: Cross multiply
    57,309.75x = 121,999.50 × 121,999.50
  4. Step 4: Simplify right side
    57,309.75x = 14,883,878,000.25
  5. Step 5: Solve for x
    x = 14,883,878,000.25/57,309.75
  6. Step 6: Final answer
    x = 259,709.35

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.