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Finding the Third Proportional to 125,604 and 271,944

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Solution

The third proportional to 125,604 and 271,944 is: 588,783.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,604 : 271,944 = 271,944 : x
  2. Step 2: Convert to fraction form
    125,604/271,944 = 271,944/x
  3. Step 3: Cross multiply
    125,604x = 271,944 × 271,944
  4. Step 4: Simplify right side
    125,604x = 73,953,539,136
  5. Step 5: Solve for x
    x = 73,953,539,136/125,604
  6. Step 6: Final answer
    x = 588,783.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.