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Finding the Third Proportional to 58,483 and 126,902

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Solution

The third proportional to 58,483 and 126,902 is: 275,364.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,483 : 126,902 = 126,902 : x
  2. Step 2: Convert to fraction form
    58,483/126,902 = 126,902/x
  3. Step 3: Cross multiply
    58,483x = 126,902 × 126,902
  4. Step 4: Simplify right side
    58,483x = 16,104,117,604
  5. Step 5: Solve for x
    x = 16,104,117,604/58,483
  6. Step 6: Final answer
    x = 275,364.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.