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Finding the Third Proportional to 100,521.75 and 209,310

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Solution

The third proportional to 100,521.75 and 209,310 is: 435,832.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,521.75 : 209,310 = 209,310 : x
  2. Step 2: Convert to fraction form
    100,521.75/209,310 = 209,310/x
  3. Step 3: Cross multiply
    100,521.75x = 209,310 × 209,310
  4. Step 4: Simplify right side
    100,521.75x = 43,810,676,100
  5. Step 5: Solve for x
    x = 43,810,676,100/100,521.75
  6. Step 6: Final answer
    x = 435,832.80

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.