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Finding the Third Proportional to 125,662.50 and 165,165.75

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Solution

The third proportional to 125,662.50 and 165,165.75 is: 217,087.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,662.50 : 165,165.75 = 165,165.75 : x
  2. Step 2: Convert to fraction form
    125,662.50/165,165.75 = 165,165.75/x
  3. Step 3: Cross multiply
    125,662.50x = 165,165.75 × 165,165.75
  4. Step 4: Simplify right side
    125,662.50x = 27,279,724,973.06
  5. Step 5: Solve for x
    x = 27,279,724,973.06/125,662.50
  6. Step 6: Final answer
    x = 217,087.24

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.