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Finding the Third Proportional to 66,466 and 89,546

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Solution

The third proportional to 66,466 and 89,546 is: 120,640.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,466 : 89,546 = 89,546 : x
  2. Step 2: Convert to fraction form
    66,466/89,546 = 89,546/x
  3. Step 3: Cross multiply
    66,466x = 89,546 × 89,546
  4. Step 4: Simplify right side
    66,466x = 8,018,486,116
  5. Step 5: Solve for x
    x = 8,018,486,116/66,466
  6. Step 6: Final answer
    x = 120,640.42

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.