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Finding the Third Proportional to 45,391 and 105,476

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Solution

The third proportional to 45,391 and 105,476 is: 245,096.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,391 : 105,476 = 105,476 : x
  2. Step 2: Convert to fraction form
    45,391/105,476 = 105,476/x
  3. Step 3: Cross multiply
    45,391x = 105,476 × 105,476
  4. Step 4: Simplify right side
    45,391x = 11,125,186,576
  5. Step 5: Solve for x
    x = 11,125,186,576/45,391
  6. Step 6: Final answer
    x = 245,096.75

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.