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Finding the Third Proportional to 44,106 and 90,551.25

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Solution

The third proportional to 44,106 and 90,551.25 is: 185,905.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,106 : 90,551.25 = 90,551.25 : x
  2. Step 2: Convert to fraction form
    44,106/90,551.25 = 90,551.25/x
  3. Step 3: Cross multiply
    44,106x = 90,551.25 × 90,551.25
  4. Step 4: Simplify right side
    44,106x = 8,199,528,876.56
  5. Step 5: Solve for x
    x = 8,199,528,876.56/44,106
  6. Step 6: Final answer
    x = 185,905.07

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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.