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Finding the Third Proportional to 66,200 and 92,603

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Solution

The third proportional to 66,200 and 92,603 is: 129,536.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,200 : 92,603 = 92,603 : x
  2. Step 2: Convert to fraction form
    66,200/92,603 = 92,603/x
  3. Step 3: Cross multiply
    66,200x = 92,603 × 92,603
  4. Step 4: Simplify right side
    66,200x = 8,575,315,609
  5. Step 5: Solve for x
    x = 8,575,315,609/66,200
  6. Step 6: Final answer
    x = 129,536.49

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.