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Finding the Third Proportional to 105,730 and 163,907

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Solution

The third proportional to 105,730 and 163,907 is: 254,095.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,730 : 163,907 = 163,907 : x
  2. Step 2: Convert to fraction form
    105,730/163,907 = 163,907/x
  3. Step 3: Cross multiply
    105,730x = 163,907 × 163,907
  4. Step 4: Simplify right side
    105,730x = 26,865,504,649
  5. Step 5: Solve for x
    x = 26,865,504,649/105,730
  6. Step 6: Final answer
    x = 254,095.38

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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.