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Finding the Third Proportional to 106,808 and 152,628

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Solution

The third proportional to 106,808 and 152,628 is: 218,104.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,808 : 152,628 = 152,628 : x
  2. Step 2: Convert to fraction form
    106,808/152,628 = 152,628/x
  3. Step 3: Cross multiply
    106,808x = 152,628 × 152,628
  4. Step 4: Simplify right side
    106,808x = 23,295,306,384
  5. Step 5: Solve for x
    x = 23,295,306,384/106,808
  6. Step 6: Final answer
    x = 218,104.51

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.