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Finding the Third Proportional to 81,064 and 174,240

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Solution

The third proportional to 81,064 and 174,240 is: 374,513.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,064 : 174,240 = 174,240 : x
  2. Step 2: Convert to fraction form
    81,064/174,240 = 174,240/x
  3. Step 3: Cross multiply
    81,064x = 174,240 × 174,240
  4. Step 4: Simplify right side
    81,064x = 30,359,577,600
  5. Step 5: Solve for x
    x = 30,359,577,600/81,064
  6. Step 6: Final answer
    x = 374,513.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.