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Finding the Third Proportional to 105,696 and 163,590

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Solution

The third proportional to 105,696 and 163,590 is: 253,194.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,696 : 163,590 = 163,590 : x
  2. Step 2: Convert to fraction form
    105,696/163,590 = 163,590/x
  3. Step 3: Cross multiply
    105,696x = 163,590 × 163,590
  4. Step 4: Simplify right side
    105,696x = 26,761,688,100
  5. Step 5: Solve for x
    x = 26,761,688,100/105,696
  6. Step 6: Final answer
    x = 253,194.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.