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Finding the Third Proportional to 103,696 and 160,127

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Solution

The third proportional to 103,696 and 160,127 is: 247,267.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,696 : 160,127 = 160,127 : x
  2. Step 2: Convert to fraction form
    103,696/160,127 = 160,127/x
  3. Step 3: Cross multiply
    103,696x = 160,127 × 160,127
  4. Step 4: Simplify right side
    103,696x = 25,640,656,129
  5. Step 5: Solve for x
    x = 25,640,656,129/103,696
  6. Step 6: Final answer
    x = 247,267.55

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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.