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Finding the Third Proportional to 68,098 and 145,460

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Solution

The third proportional to 68,098 and 145,460 is: 310,708.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,098 : 145,460 = 145,460 : x
  2. Step 2: Convert to fraction form
    68,098/145,460 = 145,460/x
  3. Step 3: Cross multiply
    68,098x = 145,460 × 145,460
  4. Step 4: Simplify right side
    68,098x = 21,158,611,600
  5. Step 5: Solve for x
    x = 21,158,611,600/68,098
  6. Step 6: Final answer
    x = 310,708.27

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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.