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Finding the Third Proportional to 57,600 and 94,056

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Solution

The third proportional to 57,600 and 94,056 is: 153,585.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,600 : 94,056 = 94,056 : x
  2. Step 2: Convert to fraction form
    57,600/94,056 = 94,056/x
  3. Step 3: Cross multiply
    57,600x = 94,056 × 94,056
  4. Step 4: Simplify right side
    57,600x = 8,846,531,136
  5. Step 5: Solve for x
    x = 8,846,531,136/57,600
  6. Step 6: Final answer
    x = 153,585.61

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.