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Finding the Third Proportional to 103,560 and 150,316

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Solution

The third proportional to 103,560 and 150,316 is: 218,181.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,560 : 150,316 = 150,316 : x
  2. Step 2: Convert to fraction form
    103,560/150,316 = 150,316/x
  3. Step 3: Cross multiply
    103,560x = 150,316 × 150,316
  4. Step 4: Simplify right side
    103,560x = 22,594,899,856
  5. Step 5: Solve for x
    x = 22,594,899,856/103,560
  6. Step 6: Final answer
    x = 218,181.73

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.