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Finding the Third Proportional to 113,850 and 164,479

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Solution

The third proportional to 113,850 and 164,479 is: 237,622.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,850 : 164,479 = 164,479 : x
  2. Step 2: Convert to fraction form
    113,850/164,479 = 164,479/x
  3. Step 3: Cross multiply
    113,850x = 164,479 × 164,479
  4. Step 4: Simplify right side
    113,850x = 27,053,341,441
  5. Step 5: Solve for x
    x = 27,053,341,441/113,850
  6. Step 6: Final answer
    x = 237,622.67

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.