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Finding the Third Proportional to 85,276.75 and 130,514.25

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Solution

The third proportional to 85,276.75 and 130,514.25 is: 199,749.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,276.75 : 130,514.25 = 130,514.25 : x
  2. Step 2: Convert to fraction form
    85,276.75/130,514.25 = 130,514.25/x
  3. Step 3: Cross multiply
    85,276.75x = 130,514.25 × 130,514.25
  4. Step 4: Simplify right side
    85,276.75x = 17,033,969,453.06
  5. Step 5: Solve for x
    x = 17,033,969,453.06/85,276.75
  6. Step 6: Final answer
    x = 199,749.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.