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Finding the Third Proportional to 66,177 and 102,549.38

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Solution

The third proportional to 66,177 and 102,549.38 is: 158,912.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,177 : 102,549.38 = 102,549.38 : x
  2. Step 2: Convert to fraction form
    66,177/102,549.38 = 102,549.38/x
  3. Step 3: Cross multiply
    66,177x = 102,549.38 × 102,549.38
  4. Step 4: Simplify right side
    66,177x = 10,516,374,312.89
  5. Step 5: Solve for x
    x = 10,516,374,312.89/66,177
  6. Step 6: Final answer
    x = 158,912.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.