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Finding the Third Proportional to 127,967 and 200,724

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Solution

The third proportional to 127,967 and 200,724 is: 314,847.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,967 : 200,724 = 200,724 : x
  2. Step 2: Convert to fraction form
    127,967/200,724 = 200,724/x
  3. Step 3: Cross multiply
    127,967x = 200,724 × 200,724
  4. Step 4: Simplify right side
    127,967x = 40,290,124,176
  5. Step 5: Solve for x
    x = 40,290,124,176/127,967
  6. Step 6: Final answer
    x = 314,847.77

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.