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Finding the Third Proportional to 86,423.50 and 133,323

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Solution

The third proportional to 86,423.50 and 133,323 is: 205,673.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,423.50 : 133,323 = 133,323 : x
  2. Step 2: Convert to fraction form
    86,423.50/133,323 = 133,323/x
  3. Step 3: Cross multiply
    86,423.50x = 133,323 × 133,323
  4. Step 4: Simplify right side
    86,423.50x = 17,775,022,329
  5. Step 5: Solve for x
    x = 17,775,022,329/86,423.50
  6. Step 6: Final answer
    x = 205,673.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.