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Finding the Third Proportional to 53,681 and 80,576

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Solution

The third proportional to 53,681 and 80,576 is: 120,945.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,681 : 80,576 = 80,576 : x
  2. Step 2: Convert to fraction form
    53,681/80,576 = 80,576/x
  3. Step 3: Cross multiply
    53,681x = 80,576 × 80,576
  4. Step 4: Simplify right side
    53,681x = 6,492,491,776
  5. Step 5: Solve for x
    x = 6,492,491,776/53,681
  6. Step 6: Final answer
    x = 120,945.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.