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Finding the Third Proportional to 58,797 and 126,423

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Solution

The third proportional to 58,797 and 126,423 is: 271,829.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,797 : 126,423 = 126,423 : x
  2. Step 2: Convert to fraction form
    58,797/126,423 = 126,423/x
  3. Step 3: Cross multiply
    58,797x = 126,423 × 126,423
  4. Step 4: Simplify right side
    58,797x = 15,982,774,929
  5. Step 5: Solve for x
    x = 15,982,774,929/58,797
  6. Step 6: Final answer
    x = 271,829.77

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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.