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Finding the Third Proportional to 101,348 and 155,910

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Solution

The third proportional to 101,348 and 155,910 is: 239,846.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,348 : 155,910 = 155,910 : x
  2. Step 2: Convert to fraction form
    101,348/155,910 = 155,910/x
  3. Step 3: Cross multiply
    101,348x = 155,910 × 155,910
  4. Step 4: Simplify right side
    101,348x = 24,307,928,100
  5. Step 5: Solve for x
    x = 24,307,928,100/101,348
  6. Step 6: Final answer
    x = 239,846.15

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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.