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Finding the Third Proportional to 102,968 and 164,444

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Solution

The third proportional to 102,968 and 164,444 is: 262,623.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,968 : 164,444 = 164,444 : x
  2. Step 2: Convert to fraction form
    102,968/164,444 = 164,444/x
  3. Step 3: Cross multiply
    102,968x = 164,444 × 164,444
  4. Step 4: Simplify right side
    102,968x = 27,041,829,136
  5. Step 5: Solve for x
    x = 27,041,829,136/102,968
  6. Step 6: Final answer
    x = 262,623.62

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.