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Finding the Third Proportional to 106,899.75 and 169,260.75

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Solution

The third proportional to 106,899.75 and 169,260.75 is: 268,000.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,899.75 : 169,260.75 = 169,260.75 : x
  2. Step 2: Convert to fraction form
    106,899.75/169,260.75 = 169,260.75/x
  3. Step 3: Cross multiply
    106,899.75x = 169,260.75 × 169,260.75
  4. Step 4: Simplify right side
    106,899.75x = 28,649,201,490.56
  5. Step 5: Solve for x
    x = 28,649,201,490.56/106,899.75
  6. Step 6: Final answer
    x = 268,000.64

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.