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Finding the Third Proportional to 106,599 and 164,271

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Solution

The third proportional to 106,599 and 164,271 is: 253,144.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,599 : 164,271 = 164,271 : x
  2. Step 2: Convert to fraction form
    106,599/164,271 = 164,271/x
  3. Step 3: Cross multiply
    106,599x = 164,271 × 164,271
  4. Step 4: Simplify right side
    106,599x = 26,984,961,441
  5. Step 5: Solve for x
    x = 26,984,961,441/106,599
  6. Step 6: Final answer
    x = 253,144.60

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.