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Finding the Third Proportional to 127,188.75 and 251,176.50

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Solution

The third proportional to 127,188.75 and 251,176.50 is: 496,031.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,188.75 : 251,176.50 = 251,176.50 : x
  2. Step 2: Convert to fraction form
    127,188.75/251,176.50 = 251,176.50/x
  3. Step 3: Cross multiply
    127,188.75x = 251,176.50 × 251,176.50
  4. Step 4: Simplify right side
    127,188.75x = 63,089,634,152.25
  5. Step 5: Solve for x
    x = 63,089,634,152.25/127,188.75
  6. Step 6: Final answer
    x = 496,031.56

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.