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Finding the Third Proportional to 58,427 and 127,104

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Solution

The third proportional to 58,427 and 127,104 is: 276,506.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,427 : 127,104 = 127,104 : x
  2. Step 2: Convert to fraction form
    58,427/127,104 = 127,104/x
  3. Step 3: Cross multiply
    58,427x = 127,104 × 127,104
  4. Step 4: Simplify right side
    58,427x = 16,155,426,816
  5. Step 5: Solve for x
    x = 16,155,426,816/58,427
  6. Step 6: Final answer
    x = 276,506.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.