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Finding the Third Proportional to 79,066 and 172,724

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Solution

The third proportional to 79,066 and 172,724 is: 377,325.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,066 : 172,724 = 172,724 : x
  2. Step 2: Convert to fraction form
    79,066/172,724 = 172,724/x
  3. Step 3: Cross multiply
    79,066x = 172,724 × 172,724
  4. Step 4: Simplify right side
    79,066x = 29,833,580,176
  5. Step 5: Solve for x
    x = 29,833,580,176/79,066
  6. Step 6: Final answer
    x = 377,325.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.