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Finding the Third Proportional to 82,287.75 and 171,090

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Solution

The third proportional to 82,287.75 and 171,090 is: 355,724.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,287.75 : 171,090 = 171,090 : x
  2. Step 2: Convert to fraction form
    82,287.75/171,090 = 171,090/x
  3. Step 3: Cross multiply
    82,287.75x = 171,090 × 171,090
  4. Step 4: Simplify right side
    82,287.75x = 29,271,788,100
  5. Step 5: Solve for x
    x = 29,271,788,100/82,287.75
  6. Step 6: Final answer
    x = 355,724.74

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.