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Finding the Third Proportional to 61,308 and 127,008

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Solution

The third proportional to 61,308 and 127,008 is: 263,114.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,308 : 127,008 = 127,008 : x
  2. Step 2: Convert to fraction form
    61,308/127,008 = 127,008/x
  3. Step 3: Cross multiply
    61,308x = 127,008 × 127,008
  4. Step 4: Simplify right side
    61,308x = 16,131,032,064
  5. Step 5: Solve for x
    x = 16,131,032,064/61,308
  6. Step 6: Final answer
    x = 263,114.64

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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.