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Finding the Third Proportional to 57,984 and 111,360

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Solution

The third proportional to 57,984 and 111,360 is: 213,870.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,984 : 111,360 = 111,360 : x
  2. Step 2: Convert to fraction form
    57,984/111,360 = 111,360/x
  3. Step 3: Cross multiply
    57,984x = 111,360 × 111,360
  4. Step 4: Simplify right side
    57,984x = 12,401,049,600
  5. Step 5: Solve for x
    x = 12,401,049,600/57,984
  6. Step 6: Final answer
    x = 213,870.20

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These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.