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Finding the Third Proportional to 55,959.75 and 120,856.50

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Solution

The third proportional to 55,959.75 and 120,856.50 is: 261,014.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,959.75 : 120,856.50 = 120,856.50 : x
  2. Step 2: Convert to fraction form
    55,959.75/120,856.50 = 120,856.50/x
  3. Step 3: Cross multiply
    55,959.75x = 120,856.50 × 120,856.50
  4. Step 4: Simplify right side
    55,959.75x = 14,606,293,592.25
  5. Step 5: Solve for x
    x = 14,606,293,592.25/55,959.75
  6. Step 6: Final answer
    x = 261,014.28

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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.