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Finding the Third Proportional to 36,293.06 and 78,148.55

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Solution

The third proportional to 36,293.06 and 78,148.55 is: 168,274.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,293.06 : 78,148.55 = 78,148.55 : x
  2. Step 2: Convert to fraction form
    36,293.06/78,148.55 = 78,148.55/x
  3. Step 3: Cross multiply
    36,293.06x = 78,148.55 × 78,148.55
  4. Step 4: Simplify right side
    36,293.06x = 6,107,195,378.67
  5. Step 5: Solve for x
    x = 6,107,195,378.67/36,293.06
  6. Step 6: Final answer
    x = 168,274.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.