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Finding the Third Proportional to 103,824 and 160,576

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Solution

The third proportional to 103,824 and 160,576 is: 248,349.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,824 : 160,576 = 160,576 : x
  2. Step 2: Convert to fraction form
    103,824/160,576 = 160,576/x
  3. Step 3: Cross multiply
    103,824x = 160,576 × 160,576
  4. Step 4: Simplify right side
    103,824x = 25,784,651,776
  5. Step 5: Solve for x
    x = 25,784,651,776/103,824
  6. Step 6: Final answer
    x = 248,349.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.