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Finding the Third Proportional to 106,054.50 and 148,349.25

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Solution

The third proportional to 106,054.50 and 148,349.25 is: 207,511.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,054.50 : 148,349.25 = 148,349.25 : x
  2. Step 2: Convert to fraction form
    106,054.50/148,349.25 = 148,349.25/x
  3. Step 3: Cross multiply
    106,054.50x = 148,349.25 × 148,349.25
  4. Step 4: Simplify right side
    106,054.50x = 22,007,499,975.56
  5. Step 5: Solve for x
    x = 22,007,499,975.56/106,054.50
  6. Step 6: Final answer
    x = 207,511.23

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.