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Finding the Third Proportional to 105,436 and 164,202

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Solution

The third proportional to 105,436 and 164,202 is: 255,721.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,436 : 164,202 = 164,202 : x
  2. Step 2: Convert to fraction form
    105,436/164,202 = 164,202/x
  3. Step 3: Cross multiply
    105,436x = 164,202 × 164,202
  4. Step 4: Simplify right side
    105,436x = 26,962,296,804
  5. Step 5: Solve for x
    x = 26,962,296,804/105,436
  6. Step 6: Final answer
    x = 255,721.92

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.