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Finding the Third Proportional to 45,576 and 95,758.88

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Solution

The third proportional to 45,576 and 95,758.88 is: 201,197.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,576 : 95,758.88 = 95,758.88 : x
  2. Step 2: Convert to fraction form
    45,576/95,758.88 = 95,758.88/x
  3. Step 3: Cross multiply
    45,576x = 95,758.88 × 95,758.88
  4. Step 4: Simplify right side
    45,576x = 9,169,762,141.27
  5. Step 5: Solve for x
    x = 9,169,762,141.27/45,576
  6. Step 6: Final answer
    x = 201,197.17

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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.