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Finding the Third Proportional to 70,354.50 and 147,999

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Solution

The third proportional to 70,354.50 and 147,999 is: 311,333.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,354.50 : 147,999 = 147,999 : x
  2. Step 2: Convert to fraction form
    70,354.50/147,999 = 147,999/x
  3. Step 3: Cross multiply
    70,354.50x = 147,999 × 147,999
  4. Step 4: Simplify right side
    70,354.50x = 21,903,704,001
  5. Step 5: Solve for x
    x = 21,903,704,001/70,354.50
  6. Step 6: Final answer
    x = 311,333.38

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.