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Finding the Third Proportional to 58,234 and 127,052

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Solution

The third proportional to 58,234 and 127,052 is: 277,195.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,234 : 127,052 = 127,052 : x
  2. Step 2: Convert to fraction form
    58,234/127,052 = 127,052/x
  3. Step 3: Cross multiply
    58,234x = 127,052 × 127,052
  4. Step 4: Simplify right side
    58,234x = 16,142,210,704
  5. Step 5: Solve for x
    x = 16,142,210,704/58,234
  6. Step 6: Final answer
    x = 277,195.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.