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Finding the Third Proportional to 106,585.50 and 153,984.75

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Solution

The third proportional to 106,585.50 and 153,984.75 is: 222,462.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,585.50 : 153,984.75 = 153,984.75 : x
  2. Step 2: Convert to fraction form
    106,585.50/153,984.75 = 153,984.75/x
  3. Step 3: Cross multiply
    106,585.50x = 153,984.75 × 153,984.75
  4. Step 4: Simplify right side
    106,585.50x = 23,711,303,232.56
  5. Step 5: Solve for x
    x = 23,711,303,232.56/106,585.50
  6. Step 6: Final answer
    x = 222,462.75

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.