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Finding the Third Proportional to 107,492.25 and 150,343.50

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Solution

The third proportional to 107,492.25 and 150,343.50 is: 210,277.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,492.25 : 150,343.50 = 150,343.50 : x
  2. Step 2: Convert to fraction form
    107,492.25/150,343.50 = 150,343.50/x
  3. Step 3: Cross multiply
    107,492.25x = 150,343.50 × 150,343.50
  4. Step 4: Simplify right side
    107,492.25x = 22,603,167,992.25
  5. Step 5: Solve for x
    x = 22,603,167,992.25/107,492.25
  6. Step 6: Final answer
    x = 210,277.19

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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.