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Finding the Third Proportional to 110,726 and 162,397

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Solution

The third proportional to 110,726 and 162,397 is: 238,180.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,726 : 162,397 = 162,397 : x
  2. Step 2: Convert to fraction form
    110,726/162,397 = 162,397/x
  3. Step 3: Cross multiply
    110,726x = 162,397 × 162,397
  4. Step 4: Simplify right side
    110,726x = 26,372,785,609
  5. Step 5: Solve for x
    x = 26,372,785,609/110,726
  6. Step 6: Final answer
    x = 238,180.60

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.