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Finding the Third Proportional to 56,939 and 121,760.50

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Solution

The third proportional to 56,939 and 121,760.50 is: 260,377.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,939 : 121,760.50 = 121,760.50 : x
  2. Step 2: Convert to fraction form
    56,939/121,760.50 = 121,760.50/x
  3. Step 3: Cross multiply
    56,939x = 121,760.50 × 121,760.50
  4. Step 4: Simplify right side
    56,939x = 14,825,619,360.25
  5. Step 5: Solve for x
    x = 14,825,619,360.25/56,939
  6. Step 6: Final answer
    x = 260,377.23

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.