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Finding the Third Proportional to 45,555.75 and 95,718.38

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Solution

The third proportional to 45,555.75 and 95,718.38 is: 201,116.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,555.75 : 95,718.38 = 95,718.38 : x
  2. Step 2: Convert to fraction form
    45,555.75/95,718.38 = 95,718.38/x
  3. Step 3: Cross multiply
    45,555.75x = 95,718.38 × 95,718.38
  4. Step 4: Simplify right side
    45,555.75x = 9,162,007,312.64
  5. Step 5: Solve for x
    x = 9,162,007,312.64/45,555.75
  6. Step 6: Final answer
    x = 201,116.38

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.