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Finding the Third Proportional to 61,708 and 133,012

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Solution

The third proportional to 61,708 and 133,012 is: 286,708.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,708 : 133,012 = 133,012 : x
  2. Step 2: Convert to fraction form
    61,708/133,012 = 133,012/x
  3. Step 3: Cross multiply
    61,708x = 133,012 × 133,012
  4. Step 4: Simplify right side
    61,708x = 17,692,192,144
  5. Step 5: Solve for x
    x = 17,692,192,144/61,708
  6. Step 6: Final answer
    x = 286,708.24

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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.