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Finding the Third Proportional to 107,472 and 163,576

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Solution

The third proportional to 107,472 and 163,576 is: 248,968.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,472 : 163,576 = 163,576 : x
  2. Step 2: Convert to fraction form
    107,472/163,576 = 163,576/x
  3. Step 3: Cross multiply
    107,472x = 163,576 × 163,576
  4. Step 4: Simplify right side
    107,472x = 26,757,107,776
  5. Step 5: Solve for x
    x = 26,757,107,776/107,472
  6. Step 6: Final answer
    x = 248,968.18

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.