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Finding the Third Proportional to 102,008 and 168,574

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Solution

The third proportional to 102,008 and 168,574 is: 278,578.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,008 : 168,574 = 168,574 : x
  2. Step 2: Convert to fraction form
    102,008/168,574 = 168,574/x
  3. Step 3: Cross multiply
    102,008x = 168,574 × 168,574
  4. Step 4: Simplify right side
    102,008x = 28,417,193,476
  5. Step 5: Solve for x
    x = 28,417,193,476/102,008
  6. Step 6: Final answer
    x = 278,578.09

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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.