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Finding the Third Proportional to 68,173 and 145,822

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Solution

The third proportional to 68,173 and 145,822 is: 311,913.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,173 : 145,822 = 145,822 : x
  2. Step 2: Convert to fraction form
    68,173/145,822 = 145,822/x
  3. Step 3: Cross multiply
    68,173x = 145,822 × 145,822
  4. Step 4: Simplify right side
    68,173x = 21,264,055,684
  5. Step 5: Solve for x
    x = 21,264,055,684/68,173
  6. Step 6: Final answer
    x = 311,913.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.