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Finding the Third Proportional to 107,665.50 and 165,264.75

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Solution

The third proportional to 107,665.50 and 165,264.75 is: 253,678.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,665.50 : 165,264.75 = 165,264.75 : x
  2. Step 2: Convert to fraction form
    107,665.50/165,264.75 = 165,264.75/x
  3. Step 3: Cross multiply
    107,665.50x = 165,264.75 × 165,264.75
  4. Step 4: Simplify right side
    107,665.50x = 27,312,437,592.56
  5. Step 5: Solve for x
    x = 27,312,437,592.56/107,665.50
  6. Step 6: Final answer
    x = 253,678.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.