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Finding the Third Proportional to 57,038 and 127,178

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Solution

The third proportional to 57,038 and 127,178 is: 283,569.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,038 : 127,178 = 127,178 : x
  2. Step 2: Convert to fraction form
    57,038/127,178 = 127,178/x
  3. Step 3: Cross multiply
    57,038x = 127,178 × 127,178
  4. Step 4: Simplify right side
    57,038x = 16,174,243,684
  5. Step 5: Solve for x
    x = 16,174,243,684/57,038
  6. Step 6: Final answer
    x = 283,569.61

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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.