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Finding the Third Proportional to 56,116.50 and 121,134.75

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Solution

The third proportional to 56,116.50 and 121,134.75 is: 261,485.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,116.50 : 121,134.75 = 121,134.75 : x
  2. Step 2: Convert to fraction form
    56,116.50/121,134.75 = 121,134.75/x
  3. Step 3: Cross multiply
    56,116.50x = 121,134.75 × 121,134.75
  4. Step 4: Simplify right side
    56,116.50x = 14,673,627,657.56
  5. Step 5: Solve for x
    x = 14,673,627,657.56/56,116.50
  6. Step 6: Final answer
    x = 261,485.08

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.