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Finding the Third Proportional to 106,527 and 232,120.50

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Solution

The third proportional to 106,527 and 232,120.50 is: 505,786.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,527 : 232,120.50 = 232,120.50 : x
  2. Step 2: Convert to fraction form
    106,527/232,120.50 = 232,120.50/x
  3. Step 3: Cross multiply
    106,527x = 232,120.50 × 232,120.50
  4. Step 4: Simplify right side
    106,527x = 53,879,926,520.25
  5. Step 5: Solve for x
    x = 53,879,926,520.25/106,527
  6. Step 6: Final answer
    x = 505,786.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.