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Finding the Third Proportional to 100,572 and 212,808

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Solution

The third proportional to 100,572 and 212,808 is: 450,296.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,572 : 212,808 = 212,808 : x
  2. Step 2: Convert to fraction form
    100,572/212,808 = 212,808/x
  3. Step 3: Cross multiply
    100,572x = 212,808 × 212,808
  4. Step 4: Simplify right side
    100,572x = 45,287,244,864
  5. Step 5: Solve for x
    x = 45,287,244,864/100,572
  6. Step 6: Final answer
    x = 450,296.75

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.