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Finding the Third Proportional to 107,550 and 150,435

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Solution

The third proportional to 107,550 and 150,435 is: 210,420.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,550 : 150,435 = 150,435 : x
  2. Step 2: Convert to fraction form
    107,550/150,435 = 150,435/x
  3. Step 3: Cross multiply
    107,550x = 150,435 × 150,435
  4. Step 4: Simplify right side
    107,550x = 22,630,689,225
  5. Step 5: Solve for x
    x = 22,630,689,225/107,550
  6. Step 6: Final answer
    x = 210,420.17

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.