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Finding the Third Proportional to 58,818 and 126,462

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Solution

The third proportional to 58,818 and 126,462 is: 271,900.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,818 : 126,462 = 126,462 : x
  2. Step 2: Convert to fraction form
    58,818/126,462 = 126,462/x
  3. Step 3: Cross multiply
    58,818x = 126,462 × 126,462
  4. Step 4: Simplify right side
    58,818x = 15,992,637,444
  5. Step 5: Solve for x
    x = 15,992,637,444/58,818
  6. Step 6: Final answer
    x = 271,900.40

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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.