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Finding the Third Proportional to 107,296 and 163,248

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Solution

The third proportional to 107,296 and 163,248 is: 248,377.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,296 : 163,248 = 163,248 : x
  2. Step 2: Convert to fraction form
    107,296/163,248 = 163,248/x
  3. Step 3: Cross multiply
    107,296x = 163,248 × 163,248
  4. Step 4: Simplify right side
    107,296x = 26,649,909,504
  5. Step 5: Solve for x
    x = 26,649,909,504/107,296
  6. Step 6: Final answer
    x = 248,377.47

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.