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Finding the Third Proportional to 122,115.75 and 174,972

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Solution

The third proportional to 122,115.75 and 174,972 is: 250,706.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,115.75 : 174,972 = 174,972 : x
  2. Step 2: Convert to fraction form
    122,115.75/174,972 = 174,972/x
  3. Step 3: Cross multiply
    122,115.75x = 174,972 × 174,972
  4. Step 4: Simplify right side
    122,115.75x = 30,615,200,784
  5. Step 5: Solve for x
    x = 30,615,200,784/122,115.75
  6. Step 6: Final answer
    x = 250,706.41

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.