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Finding the Third Proportional to 53,505 and 126,534

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Solution

The third proportional to 53,505 and 126,534 is: 299,240.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,505 : 126,534 = 126,534 : x
  2. Step 2: Convert to fraction form
    53,505/126,534 = 126,534/x
  3. Step 3: Cross multiply
    53,505x = 126,534 × 126,534
  4. Step 4: Simplify right side
    53,505x = 16,010,853,156
  5. Step 5: Solve for x
    x = 16,010,853,156/53,505
  6. Step 6: Final answer
    x = 299,240.32

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.