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Finding the Third Proportional to 103,688 and 160,112

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Solution

The third proportional to 103,688 and 160,112 is: 247,240.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,688 : 160,112 = 160,112 : x
  2. Step 2: Convert to fraction form
    103,688/160,112 = 160,112/x
  3. Step 3: Cross multiply
    103,688x = 160,112 × 160,112
  4. Step 4: Simplify right side
    103,688x = 25,635,852,544
  5. Step 5: Solve for x
    x = 25,635,852,544/103,688
  6. Step 6: Final answer
    x = 247,240.30

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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.