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Finding the Third Proportional to 149,650.03 and 177,329.25

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Solution

The third proportional to 149,650.03 and 177,329.25 is: 210,128.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,650.03 : 177,329.25 = 177,329.25 : x
  2. Step 2: Convert to fraction form
    149,650.03/177,329.25 = 177,329.25/x
  3. Step 3: Cross multiply
    149,650.03x = 177,329.25 × 177,329.25
  4. Step 4: Simplify right side
    149,650.03x = 31,445,662,905.56
  5. Step 5: Solve for x
    x = 31,445,662,905.56/149,650.03
  6. Step 6: Final answer
    x = 210,128.01

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.