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Finding the Third Proportional to 114,737.63 and 161,291.25

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Solution

The third proportional to 114,737.63 and 161,291.25 is: 226,733.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,737.63 : 161,291.25 = 161,291.25 : x
  2. Step 2: Convert to fraction form
    114,737.63/161,291.25 = 161,291.25/x
  3. Step 3: Cross multiply
    114,737.63x = 161,291.25 × 161,291.25
  4. Step 4: Simplify right side
    114,737.63x = 26,014,867,326.56
  5. Step 5: Solve for x
    x = 26,014,867,326.56/114,737.63
  6. Step 6: Final answer
    x = 226,733.54

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.