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Finding the Third Proportional to 48,063.28 and 105,172.49

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Solution

The third proportional to 48,063.28 and 105,172.49 is: 230,139.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,063.28 : 105,172.49 = 105,172.49 : x
  2. Step 2: Convert to fraction form
    48,063.28/105,172.49 = 105,172.49/x
  3. Step 3: Cross multiply
    48,063.28x = 105,172.49 × 105,172.49
  4. Step 4: Simplify right side
    48,063.28x = 11,061,252,291.27
  5. Step 5: Solve for x
    x = 11,061,252,291.27/48,063.28
  6. Step 6: Final answer
    x = 230,139.37

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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.