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Finding the Third Proportional to 57,775.50 and 121,140

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Solution

The third proportional to 57,775.50 and 121,140 is: 253,998.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,775.50 : 121,140 = 121,140 : x
  2. Step 2: Convert to fraction form
    57,775.50/121,140 = 121,140/x
  3. Step 3: Cross multiply
    57,775.50x = 121,140 × 121,140
  4. Step 4: Simplify right side
    57,775.50x = 14,674,899,600
  5. Step 5: Solve for x
    x = 14,674,899,600/57,775.50
  6. Step 6: Final answer
    x = 253,998.66

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.