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Finding the Third Proportional to 40,914 and 88,283

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Solution

The third proportional to 40,914 and 88,283 is: 190,494.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,914 : 88,283 = 88,283 : x
  2. Step 2: Convert to fraction form
    40,914/88,283 = 88,283/x
  3. Step 3: Cross multiply
    40,914x = 88,283 × 88,283
  4. Step 4: Simplify right side
    40,914x = 7,793,888,089
  5. Step 5: Solve for x
    x = 7,793,888,089/40,914
  6. Step 6: Final answer
    x = 190,494.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.