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Finding the Third Proportional to 58,282 and 126,356

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Solution

The third proportional to 58,282 and 126,356 is: 273,941.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,282 : 126,356 = 126,356 : x
  2. Step 2: Convert to fraction form
    58,282/126,356 = 126,356/x
  3. Step 3: Cross multiply
    58,282x = 126,356 × 126,356
  4. Step 4: Simplify right side
    58,282x = 15,965,838,736
  5. Step 5: Solve for x
    x = 15,965,838,736/58,282
  6. Step 6: Final answer
    x = 273,941.16

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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.