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Finding the Third Proportional to 53,963 and 84,476

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Solution

The third proportional to 53,963 and 84,476 is: 132,242.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,963 : 84,476 = 84,476 : x
  2. Step 2: Convert to fraction form
    53,963/84,476 = 84,476/x
  3. Step 3: Cross multiply
    53,963x = 84,476 × 84,476
  4. Step 4: Simplify right side
    53,963x = 7,136,194,576
  5. Step 5: Solve for x
    x = 7,136,194,576/53,963
  6. Step 6: Final answer
    x = 132,242.36

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.