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Finding the Third Proportional to 122,366 and 172,319

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Solution

The third proportional to 122,366 and 172,319 is: 242,664.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,366 : 172,319 = 172,319 : x
  2. Step 2: Convert to fraction form
    122,366/172,319 = 172,319/x
  3. Step 3: Cross multiply
    122,366x = 172,319 × 172,319
  4. Step 4: Simplify right side
    122,366x = 29,693,837,761
  5. Step 5: Solve for x
    x = 29,693,837,761/122,366
  6. Step 6: Final answer
    x = 242,664.12

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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.