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Finding the Third Proportional to 132,738.75 and 148,594.50

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Solution

The third proportional to 132,738.75 and 148,594.50 is: 166,344.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,738.75 : 148,594.50 = 148,594.50 : x
  2. Step 2: Convert to fraction form
    132,738.75/148,594.50 = 148,594.50/x
  3. Step 3: Cross multiply
    132,738.75x = 148,594.50 × 148,594.50
  4. Step 4: Simplify right side
    132,738.75x = 22,080,325,430.25
  5. Step 5: Solve for x
    x = 22,080,325,430.25/132,738.75
  6. Step 6: Final answer
    x = 166,344.23

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.