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Finding the Third Proportional to 66,591 and 145,476

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Solution

The third proportional to 66,591 and 145,476 is: 317,809.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,591 : 145,476 = 145,476 : x
  2. Step 2: Convert to fraction form
    66,591/145,476 = 145,476/x
  3. Step 3: Cross multiply
    66,591x = 145,476 × 145,476
  4. Step 4: Simplify right side
    66,591x = 21,163,266,576
  5. Step 5: Solve for x
    x = 21,163,266,576/66,591
  6. Step 6: Final answer
    x = 317,809.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.