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Finding the Third Proportional to 43,148 and 96,338

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Solution

The third proportional to 43,148 and 96,338 is: 215,097.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,148 : 96,338 = 96,338 : x
  2. Step 2: Convert to fraction form
    43,148/96,338 = 96,338/x
  3. Step 3: Cross multiply
    43,148x = 96,338 × 96,338
  4. Step 4: Simplify right side
    43,148x = 9,281,010,244
  5. Step 5: Solve for x
    x = 9,281,010,244/43,148
  6. Step 6: Final answer
    x = 215,097.11

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.