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Finding the Third Proportional to 57,946 and 127,124

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Solution

The third proportional to 57,946 and 127,124 is: 278,889.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,946 : 127,124 = 127,124 : x
  2. Step 2: Convert to fraction form
    57,946/127,124 = 127,124/x
  3. Step 3: Cross multiply
    57,946x = 127,124 × 127,124
  4. Step 4: Simplify right side
    57,946x = 16,160,511,376
  5. Step 5: Solve for x
    x = 16,160,511,376/57,946
  6. Step 6: Final answer
    x = 278,889.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.