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Finding the Third Proportional to 48,576 and 106,156.50

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Solution

The third proportional to 48,576 and 106,156.50 is: 231,991.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,576 : 106,156.50 = 106,156.50 : x
  2. Step 2: Convert to fraction form
    48,576/106,156.50 = 106,156.50/x
  3. Step 3: Cross multiply
    48,576x = 106,156.50 × 106,156.50
  4. Step 4: Simplify right side
    48,576x = 11,269,202,492.25
  5. Step 5: Solve for x
    x = 11,269,202,492.25/48,576
  6. Step 6: Final answer
    x = 231,991.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.