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Finding the Third Proportional to 53,973 and 127,710

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Solution

The third proportional to 53,973 and 127,710 is: 302,185.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,973 : 127,710 = 127,710 : x
  2. Step 2: Convert to fraction form
    53,973/127,710 = 127,710/x
  3. Step 3: Cross multiply
    53,973x = 127,710 × 127,710
  4. Step 4: Simplify right side
    53,973x = 16,309,844,100
  5. Step 5: Solve for x
    x = 16,309,844,100/53,973
  6. Step 6: Final answer
    x = 302,185.24

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.