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Finding the Third Proportional to 70,060.50 and 145,107

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Solution

The third proportional to 70,060.50 and 145,107 is: 300,540.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,060.50 : 145,107 = 145,107 : x
  2. Step 2: Convert to fraction form
    70,060.50/145,107 = 145,107/x
  3. Step 3: Cross multiply
    70,060.50x = 145,107 × 145,107
  4. Step 4: Simplify right side
    70,060.50x = 21,056,041,449
  5. Step 5: Solve for x
    x = 21,056,041,449/70,060.50
  6. Step 6: Final answer
    x = 300,540.84

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.