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Finding the Third Proportional to 96,213 and 150,926

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Solution

The third proportional to 96,213 and 150,926 is: 236,752.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,213 : 150,926 = 150,926 : x
  2. Step 2: Convert to fraction form
    96,213/150,926 = 150,926/x
  3. Step 3: Cross multiply
    96,213x = 150,926 × 150,926
  4. Step 4: Simplify right side
    96,213x = 22,778,657,476
  5. Step 5: Solve for x
    x = 22,778,657,476/96,213
  6. Step 6: Final answer
    x = 236,752.39

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.