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Finding the Third Proportional to 66,654 and 100,665

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Solution

The third proportional to 66,654 and 100,665 is: 152,030.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,654 : 100,665 = 100,665 : x
  2. Step 2: Convert to fraction form
    66,654/100,665 = 100,665/x
  3. Step 3: Cross multiply
    66,654x = 100,665 × 100,665
  4. Step 4: Simplify right side
    66,654x = 10,133,442,225
  5. Step 5: Solve for x
    x = 10,133,442,225/66,654
  6. Step 6: Final answer
    x = 152,030.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.