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Finding the Third Proportional to 58,505 and 126,350

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Solution

The third proportional to 58,505 and 126,350 is: 272,871.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,505 : 126,350 = 126,350 : x
  2. Step 2: Convert to fraction form
    58,505/126,350 = 126,350/x
  3. Step 3: Cross multiply
    58,505x = 126,350 × 126,350
  4. Step 4: Simplify right side
    58,505x = 15,964,322,500
  5. Step 5: Solve for x
    x = 15,964,322,500/58,505
  6. Step 6: Final answer
    x = 272,871.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.