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Finding the Third Proportional to 45,695.39 and 106,766.44

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Solution

The third proportional to 45,695.39 and 106,766.44 is: 249,457.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,695.39 : 106,766.44 = 106,766.44 : x
  2. Step 2: Convert to fraction form
    45,695.39/106,766.44 = 106,766.44/x
  3. Step 3: Cross multiply
    45,695.39x = 106,766.44 × 106,766.44
  4. Step 4: Simplify right side
    45,695.39x = 11,399,072,176.44
  5. Step 5: Solve for x
    x = 11,399,072,176.44/45,695.39
  6. Step 6: Final answer
    x = 249,457.81

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.