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Finding the Third Proportional to 53,680 and 116,576

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Solution

The third proportional to 53,680 and 116,576 is: 253,166.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,680 : 116,576 = 116,576 : x
  2. Step 2: Convert to fraction form
    53,680/116,576 = 116,576/x
  3. Step 3: Cross multiply
    53,680x = 116,576 × 116,576
  4. Step 4: Simplify right side
    53,680x = 13,589,963,776
  5. Step 5: Solve for x
    x = 13,589,963,776/53,680
  6. Step 6: Final answer
    x = 253,166.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.