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Finding the Third Proportional to 48,382.50 and 106,303.50

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Solution

The third proportional to 48,382.50 and 106,303.50 is: 233,564.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,382.50 : 106,303.50 = 106,303.50 : x
  2. Step 2: Convert to fraction form
    48,382.50/106,303.50 = 106,303.50/x
  3. Step 3: Cross multiply
    48,382.50x = 106,303.50 × 106,303.50
  4. Step 4: Simplify right side
    48,382.50x = 11,300,434,112.25
  5. Step 5: Solve for x
    x = 11,300,434,112.25/48,382.50
  6. Step 6: Final answer
    x = 233,564.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.