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Finding the Third Proportional to 61,130 and 124,852

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Solution

The third proportional to 61,130 and 124,852 is: 254,997.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,130 : 124,852 = 124,852 : x
  2. Step 2: Convert to fraction form
    61,130/124,852 = 124,852/x
  3. Step 3: Cross multiply
    61,130x = 124,852 × 124,852
  4. Step 4: Simplify right side
    61,130x = 15,588,021,904
  5. Step 5: Solve for x
    x = 15,588,021,904/61,130
  6. Step 6: Final answer
    x = 254,997.90

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.