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Finding the Third Proportional to 69,035.63 and 153,623.25

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Solution

The third proportional to 69,035.63 and 153,623.25 is: 341,853.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,035.63 : 153,623.25 = 153,623.25 : x
  2. Step 2: Convert to fraction form
    69,035.63/153,623.25 = 153,623.25/x
  3. Step 3: Cross multiply
    69,035.63x = 153,623.25 × 153,623.25
  4. Step 4: Simplify right side
    69,035.63x = 23,600,102,940.56
  5. Step 5: Solve for x
    x = 23,600,102,940.56/69,035.63
  6. Step 6: Final answer
    x = 341,853.98

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.