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Finding the Third Proportional to 82,287.75 and 145,083.75

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Solution

The third proportional to 82,287.75 and 145,083.75 is: 255,801.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,287.75 : 145,083.75 = 145,083.75 : x
  2. Step 2: Convert to fraction form
    82,287.75/145,083.75 = 145,083.75/x
  3. Step 3: Cross multiply
    82,287.75x = 145,083.75 × 145,083.75
  4. Step 4: Simplify right side
    82,287.75x = 21,049,294,514.06
  5. Step 5: Solve for x
    x = 21,049,294,514.06/82,287.75
  6. Step 6: Final answer
    x = 255,801.07

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.