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Finding the Third Proportional to 53,407 and 126,072

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Solution

The third proportional to 53,407 and 126,072 is: 297,604.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,407 : 126,072 = 126,072 : x
  2. Step 2: Convert to fraction form
    53,407/126,072 = 126,072/x
  3. Step 3: Cross multiply
    53,407x = 126,072 × 126,072
  4. Step 4: Simplify right side
    53,407x = 15,894,149,184
  5. Step 5: Solve for x
    x = 15,894,149,184/53,407
  6. Step 6: Final answer
    x = 297,604.23

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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.