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Finding the Third Proportional to 106,572 and 216,132

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Solution

The third proportional to 106,572 and 216,132 is: 438,323.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,572 : 216,132 = 216,132 : x
  2. Step 2: Convert to fraction form
    106,572/216,132 = 216,132/x
  3. Step 3: Cross multiply
    106,572x = 216,132 × 216,132
  4. Step 4: Simplify right side
    106,572x = 46,713,041,424
  5. Step 5: Solve for x
    x = 46,713,041,424/106,572
  6. Step 6: Final answer
    x = 438,323.78

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.