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Finding the Third Proportional to 106,990.88 and 165,577.50

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Solution

The third proportional to 106,990.88 and 165,577.50 is: 256,245.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,990.88 : 165,577.50 = 165,577.50 : x
  2. Step 2: Convert to fraction form
    106,990.88/165,577.50 = 165,577.50/x
  3. Step 3: Cross multiply
    106,990.88x = 165,577.50 × 165,577.50
  4. Step 4: Simplify right side
    106,990.88x = 27,415,908,506.25
  5. Step 5: Solve for x
    x = 27,415,908,506.25/106,990.88
  6. Step 6: Final answer
    x = 256,245.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.