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Finding the Third Proportional to 48,541.69 and 104,288.06

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Solution

The third proportional to 48,541.69 and 104,288.06 is: 224,054.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,541.69 : 104,288.06 = 104,288.06 : x
  2. Step 2: Convert to fraction form
    48,541.69/104,288.06 = 104,288.06/x
  3. Step 3: Cross multiply
    48,541.69x = 104,288.06 × 104,288.06
  4. Step 4: Simplify right side
    48,541.69x = 10,875,999,980.00
  5. Step 5: Solve for x
    x = 10,875,999,980.00/48,541.69
  6. Step 6: Final answer
    x = 224,054.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.