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Finding the Third Proportional to 122,358 and 172,311

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Solution

The third proportional to 122,358 and 172,311 is: 242,657.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,358 : 172,311 = 172,311 : x
  2. Step 2: Convert to fraction form
    122,358/172,311 = 172,311/x
  3. Step 3: Cross multiply
    122,358x = 172,311 × 172,311
  4. Step 4: Simplify right side
    122,358x = 29,691,080,721
  5. Step 5: Solve for x
    x = 29,691,080,721/122,358
  6. Step 6: Final answer
    x = 242,657.45

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.