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Finding the Third Proportional to 70,675.50 and 153,621

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Solution

The third proportional to 70,675.50 and 153,621 is: 333,912.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,675.50 : 153,621 = 153,621 : x
  2. Step 2: Convert to fraction form
    70,675.50/153,621 = 153,621/x
  3. Step 3: Cross multiply
    70,675.50x = 153,621 × 153,621
  4. Step 4: Simplify right side
    70,675.50x = 23,599,411,641
  5. Step 5: Solve for x
    x = 23,599,411,641/70,675.50
  6. Step 6: Final answer
    x = 333,912.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.