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Finding the Third Proportional to 102,990.94 and 163,886.06

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Solution

The third proportional to 102,990.94 and 163,886.06 is: 260,786.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,990.94 : 163,886.06 = 163,886.06 : x
  2. Step 2: Convert to fraction form
    102,990.94/163,886.06 = 163,886.06/x
  3. Step 3: Cross multiply
    102,990.94x = 163,886.06 × 163,886.06
  4. Step 4: Simplify right side
    102,990.94x = 26,858,641,481.75
  5. Step 5: Solve for x
    x = 26,858,641,481.75/102,990.94
  6. Step 6: Final answer
    x = 260,786.45

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.