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Finding the Third Proportional to 102,141 and 168,804

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Solution

The third proportional to 102,141 and 168,804 is: 278,975.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,141 : 168,804 = 168,804 : x
  2. Step 2: Convert to fraction form
    102,141/168,804 = 168,804/x
  3. Step 3: Cross multiply
    102,141x = 168,804 × 168,804
  4. Step 4: Simplify right side
    102,141x = 28,494,790,416
  5. Step 5: Solve for x
    x = 28,494,790,416/102,141
  6. Step 6: Final answer
    x = 278,975.05

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.