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Finding the Third Proportional to 103,819.50 and 148,461.75

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Solution

The third proportional to 103,819.50 and 148,461.75 is: 212,300.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,819.50 : 148,461.75 = 148,461.75 : x
  2. Step 2: Convert to fraction form
    103,819.50/148,461.75 = 148,461.75/x
  3. Step 3: Cross multiply
    103,819.50x = 148,461.75 × 148,461.75
  4. Step 4: Simplify right side
    103,819.50x = 22,040,891,213.06
  5. Step 5: Solve for x
    x = 22,040,891,213.06/103,819.50
  6. Step 6: Final answer
    x = 212,300.11

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.