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Finding the Third Proportional to 61,668 and 127,712

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Solution

The third proportional to 61,668 and 127,712 is: 264,486.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,668 : 127,712 = 127,712 : x
  2. Step 2: Convert to fraction form
    61,668/127,712 = 127,712/x
  3. Step 3: Cross multiply
    61,668x = 127,712 × 127,712
  4. Step 4: Simplify right side
    61,668x = 16,310,354,944
  5. Step 5: Solve for x
    x = 16,310,354,944/61,668
  6. Step 6: Final answer
    x = 264,486.52

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.