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Finding the Third Proportional to 58,680 and 126,713

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Solution

The third proportional to 58,680 and 126,713 is: 273,622.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,680 : 126,713 = 126,713 : x
  2. Step 2: Convert to fraction form
    58,680/126,713 = 126,713/x
  3. Step 3: Cross multiply
    58,680x = 126,713 × 126,713
  4. Step 4: Simplify right side
    58,680x = 16,056,184,369
  5. Step 5: Solve for x
    x = 16,056,184,369/58,680
  6. Step 6: Final answer
    x = 273,622.77

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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.