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Finding the Third Proportional to 127,040 and 174,360

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Solution

The third proportional to 127,040 and 174,360 is: 239,305.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,040 : 174,360 = 174,360 : x
  2. Step 2: Convert to fraction form
    127,040/174,360 = 174,360/x
  3. Step 3: Cross multiply
    127,040x = 174,360 × 174,360
  4. Step 4: Simplify right side
    127,040x = 30,401,409,600
  5. Step 5: Solve for x
    x = 30,401,409,600/127,040
  6. Step 6: Final answer
    x = 239,305.81

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.