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Finding the Third Proportional to 61,668 and 133,154

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Solution

The third proportional to 61,668 and 133,154 is: 287,507.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,668 : 133,154 = 133,154 : x
  2. Step 2: Convert to fraction form
    61,668/133,154 = 133,154/x
  3. Step 3: Cross multiply
    61,668x = 133,154 × 133,154
  4. Step 4: Simplify right side
    61,668x = 17,729,987,716
  5. Step 5: Solve for x
    x = 17,729,987,716/61,668
  6. Step 6: Final answer
    x = 287,507.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.