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Finding the Third Proportional to 103,670 and 155,478

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Solution

The third proportional to 103,670 and 155,478 is: 233,176.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,670 : 155,478 = 155,478 : x
  2. Step 2: Convert to fraction form
    103,670/155,478 = 155,478/x
  3. Step 3: Cross multiply
    103,670x = 155,478 × 155,478
  4. Step 4: Simplify right side
    103,670x = 24,173,408,484
  5. Step 5: Solve for x
    x = 24,173,408,484/103,670
  6. Step 6: Final answer
    x = 233,176.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.