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Finding the Third Proportional to 41,207 and 88,984

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Solution

The third proportional to 41,207 and 88,984 is: 192,155.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,207 : 88,984 = 88,984 : x
  2. Step 2: Convert to fraction form
    41,207/88,984 = 88,984/x
  3. Step 3: Cross multiply
    41,207x = 88,984 × 88,984
  4. Step 4: Simplify right side
    41,207x = 7,918,152,256
  5. Step 5: Solve for x
    x = 7,918,152,256/41,207
  6. Step 6: Final answer
    x = 192,155.51

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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.