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Finding the Third Proportional to 106,069.50 and 155,539.50

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Solution

The third proportional to 106,069.50 and 155,539.50 is: 228,081.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,069.50 : 155,539.50 = 155,539.50 : x
  2. Step 2: Convert to fraction form
    106,069.50/155,539.50 = 155,539.50/x
  3. Step 3: Cross multiply
    106,069.50x = 155,539.50 × 155,539.50
  4. Step 4: Simplify right side
    106,069.50x = 24,192,536,060.25
  5. Step 5: Solve for x
    x = 24,192,536,060.25/106,069.50
  6. Step 6: Final answer
    x = 228,081.93

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.