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Finding the Third Proportional to 57,052 and 127,222

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Solution

The third proportional to 57,052 and 127,222 is: 283,696.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,052 : 127,222 = 127,222 : x
  2. Step 2: Convert to fraction form
    57,052/127,222 = 127,222/x
  3. Step 3: Cross multiply
    57,052x = 127,222 × 127,222
  4. Step 4: Simplify right side
    57,052x = 16,185,437,284
  5. Step 5: Solve for x
    x = 16,185,437,284/57,052
  6. Step 6: Final answer
    x = 283,696.23

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.