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Finding the Third Proportional to 57,330.50 and 122,508

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Solution

The third proportional to 57,330.50 and 122,508 is: 261,784.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,330.50 : 122,508 = 122,508 : x
  2. Step 2: Convert to fraction form
    57,330.50/122,508 = 122,508/x
  3. Step 3: Cross multiply
    57,330.50x = 122,508 × 122,508
  4. Step 4: Simplify right side
    57,330.50x = 15,008,210,064
  5. Step 5: Solve for x
    x = 15,008,210,064/57,330.50
  6. Step 6: Final answer
    x = 261,784.04

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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.