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Finding the Third Proportional to 58,278.38 and 127,096.88

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Solution

The third proportional to 58,278.38 and 127,096.88 is: 277,180.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,278.38 : 127,096.88 = 127,096.88 : x
  2. Step 2: Convert to fraction form
    58,278.38/127,096.88 = 127,096.88/x
  3. Step 3: Cross multiply
    58,278.38x = 127,096.88 × 127,096.88
  4. Step 4: Simplify right side
    58,278.38x = 16,153,615,634.77
  5. Step 5: Solve for x
    x = 16,153,615,634.77/58,278.38
  6. Step 6: Final answer
    x = 277,180.27

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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.