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Finding the Third Proportional to 58,023.84 and 126,982.69

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Solution

The third proportional to 58,023.84 and 126,982.69 is: 277,896.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,023.84 : 126,982.69 = 126,982.69 : x
  2. Step 2: Convert to fraction form
    58,023.84/126,982.69 = 126,982.69/x
  3. Step 3: Cross multiply
    58,023.84x = 126,982.69 × 126,982.69
  4. Step 4: Simplify right side
    58,023.84x = 16,124,602,924.72
  5. Step 5: Solve for x
    x = 16,124,602,924.72/58,023.84
  6. Step 6: Final answer
    x = 277,896.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.