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Finding the Third Proportional to 32,126.63 and 69,186.66

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Solution

The third proportional to 32,126.63 and 69,186.66 is: 148,997.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,126.63 : 69,186.66 = 69,186.66 : x
  2. Step 2: Convert to fraction form
    32,126.63/69,186.66 = 69,186.66/x
  3. Step 3: Cross multiply
    32,126.63x = 69,186.66 × 69,186.66
  4. Step 4: Simplify right side
    32,126.63x = 4,786,793,403.06
  5. Step 5: Solve for x
    x = 4,786,793,403.06/32,126.63
  6. Step 6: Final answer
    x = 148,997.71

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