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Finding the Third Proportional to 56,412 and 84,444

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Solution

The third proportional to 56,412 and 84,444 is: 126,405.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,412 : 84,444 = 84,444 : x
  2. Step 2: Convert to fraction form
    56,412/84,444 = 84,444/x
  3. Step 3: Cross multiply
    56,412x = 84,444 × 84,444
  4. Step 4: Simplify right side
    56,412x = 7,130,789,136
  5. Step 5: Solve for x
    x = 7,130,789,136/56,412
  6. Step 6: Final answer
    x = 126,405.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.