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Finding the Third Proportional to 80,514.63 and 174,903.05

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Solution

The third proportional to 80,514.63 and 174,903.05 is: 379,944.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,514.63 : 174,903.05 = 174,903.05 : x
  2. Step 2: Convert to fraction form
    80,514.63/174,903.05 = 174,903.05/x
  3. Step 3: Cross multiply
    80,514.63x = 174,903.05 × 174,903.05
  4. Step 4: Simplify right side
    80,514.63x = 30,591,075,806.16
  5. Step 5: Solve for x
    x = 30,591,075,806.16/80,514.63
  6. Step 6: Final answer
    x = 379,944.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.