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Finding the Third Proportional to 58,334.71 and 127,228.54

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Solution

The third proportional to 58,334.71 and 127,228.54 is: 277,486.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,334.71 : 127,228.54 = 127,228.54 : x
  2. Step 2: Convert to fraction form
    58,334.71/127,228.54 = 127,228.54/x
  3. Step 3: Cross multiply
    58,334.71x = 127,228.54 × 127,228.54
  4. Step 4: Simplify right side
    58,334.71x = 16,187,100,158.01
  5. Step 5: Solve for x
    x = 16,187,100,158.01/58,334.71
  6. Step 6: Final answer
    x = 277,486.58

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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.