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Finding the Third Proportional to 94,416 and 144,900

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Solution

The third proportional to 94,416 and 144,900 is: 222,377.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,416 : 144,900 = 144,900 : x
  2. Step 2: Convert to fraction form
    94,416/144,900 = 144,900/x
  3. Step 3: Cross multiply
    94,416x = 144,900 × 144,900
  4. Step 4: Simplify right side
    94,416x = 20,996,010,000
  5. Step 5: Solve for x
    x = 20,996,010,000/94,416
  6. Step 6: Final answer
    x = 222,377.67

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.