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Finding the Third Proportional to 44,091 and 90,522

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Solution

The third proportional to 44,091 and 90,522 is: 185,848.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,091 : 90,522 = 90,522 : x
  2. Step 2: Convert to fraction form
    44,091/90,522 = 90,522/x
  3. Step 3: Cross multiply
    44,091x = 90,522 × 90,522
  4. Step 4: Simplify right side
    44,091x = 8,194,232,484
  5. Step 5: Solve for x
    x = 8,194,232,484/44,091
  6. Step 6: Final answer
    x = 185,848.19

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.