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Finding the Third Proportional to 44,705.25 and 93,082.50

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Solution

The third proportional to 44,705.25 and 93,082.50 is: 193,810.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,705.25 : 93,082.50 = 93,082.50 : x
  2. Step 2: Convert to fraction form
    44,705.25/93,082.50 = 93,082.50/x
  3. Step 3: Cross multiply
    44,705.25x = 93,082.50 × 93,082.50
  4. Step 4: Simplify right side
    44,705.25x = 8,664,351,806.25
  5. Step 5: Solve for x
    x = 8,664,351,806.25/44,705.25
  6. Step 6: Final answer
    x = 193,810.61

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.