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Finding the Third Proportional to 66,214 and 102,592

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Solution

The third proportional to 66,214 and 102,592 is: 158,956.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,214 : 102,592 = 102,592 : x
  2. Step 2: Convert to fraction form
    66,214/102,592 = 102,592/x
  3. Step 3: Cross multiply
    66,214x = 102,592 × 102,592
  4. Step 4: Simplify right side
    66,214x = 10,525,118,464
  5. Step 5: Solve for x
    x = 10,525,118,464/66,214
  6. Step 6: Final answer
    x = 158,956.09

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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.