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Finding the Third Proportional to 79,023 and 171,222

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Solution

The third proportional to 79,023 and 171,222 is: 370,992.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,023 : 171,222 = 171,222 : x
  2. Step 2: Convert to fraction form
    79,023/171,222 = 171,222/x
  3. Step 3: Cross multiply
    79,023x = 171,222 × 171,222
  4. Step 4: Simplify right side
    79,023x = 29,316,973,284
  5. Step 5: Solve for x
    x = 29,316,973,284/79,023
  6. Step 6: Final answer
    x = 370,992.92

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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.