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Finding the Third Proportional to 106,489.50 and 235,120.50

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Solution

The third proportional to 106,489.50 and 235,120.50 is: 519,127.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,489.50 : 235,120.50 = 235,120.50 : x
  2. Step 2: Convert to fraction form
    106,489.50/235,120.50 = 235,120.50/x
  3. Step 3: Cross multiply
    106,489.50x = 235,120.50 × 235,120.50
  4. Step 4: Simplify right side
    106,489.50x = 55,281,649,520.25
  5. Step 5: Solve for x
    x = 55,281,649,520.25/106,489.50
  6. Step 6: Final answer
    x = 519,127.70

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.