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Finding the Third Proportional to 57,412 and 84,232

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Solution

The third proportional to 57,412 and 84,232 is: 123,580.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,412 : 84,232 = 84,232 : x
  2. Step 2: Convert to fraction form
    57,412/84,232 = 84,232/x
  3. Step 3: Cross multiply
    57,412x = 84,232 × 84,232
  4. Step 4: Simplify right side
    57,412x = 7,095,029,824
  5. Step 5: Solve for x
    x = 7,095,029,824/57,412
  6. Step 6: Final answer
    x = 123,580.96

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.