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Finding the Third Proportional to 58,814 and 127,024

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Solution

The third proportional to 58,814 and 127,024 is: 274,341.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,814 : 127,024 = 127,024 : x
  2. Step 2: Convert to fraction form
    58,814/127,024 = 127,024/x
  3. Step 3: Cross multiply
    58,814x = 127,024 × 127,024
  4. Step 4: Simplify right side
    58,814x = 16,135,096,576
  5. Step 5: Solve for x
    x = 16,135,096,576/58,814
  6. Step 6: Final answer
    x = 274,341.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.