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Finding the Third Proportional to 128,829.75 and 185,555.25

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Solution

The third proportional to 128,829.75 and 185,555.25 is: 267,257.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,829.75 : 185,555.25 = 185,555.25 : x
  2. Step 2: Convert to fraction form
    128,829.75/185,555.25 = 185,555.25/x
  3. Step 3: Cross multiply
    128,829.75x = 185,555.25 × 185,555.25
  4. Step 4: Simplify right side
    128,829.75x = 34,430,750,802.56
  5. Step 5: Solve for x
    x = 34,430,750,802.56/128,829.75
  6. Step 6: Final answer
    x = 267,257.76

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.