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Finding the Third Proportional to 69,655.50 and 149,800.50

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Solution

The third proportional to 69,655.50 and 149,800.50 is: 322,159.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,655.50 : 149,800.50 = 149,800.50 : x
  2. Step 2: Convert to fraction form
    69,655.50/149,800.50 = 149,800.50/x
  3. Step 3: Cross multiply
    69,655.50x = 149,800.50 × 149,800.50
  4. Step 4: Simplify right side
    69,655.50x = 22,440,189,800.25
  5. Step 5: Solve for x
    x = 22,440,189,800.25/69,655.50
  6. Step 6: Final answer
    x = 322,159.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.