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Finding the Third Proportional to 70,695 and 148,660.88

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Solution

The third proportional to 70,695 and 148,660.88 is: 312,611.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,695 : 148,660.88 = 148,660.88 : x
  2. Step 2: Convert to fraction form
    70,695/148,660.88 = 148,660.88/x
  3. Step 3: Cross multiply
    70,695x = 148,660.88 × 148,660.88
  4. Step 4: Simplify right side
    70,695x = 22,100,055,755.77
  5. Step 5: Solve for x
    x = 22,100,055,755.77/70,695
  6. Step 6: Final answer
    x = 312,611.30

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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.