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Finding the Third Proportional to 58,511.75 and 126,036.50

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Solution

The third proportional to 58,511.75 and 126,036.50 is: 271,487.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,511.75 : 126,036.50 = 126,036.50 : x
  2. Step 2: Convert to fraction form
    58,511.75/126,036.50 = 126,036.50/x
  3. Step 3: Cross multiply
    58,511.75x = 126,036.50 × 126,036.50
  4. Step 4: Simplify right side
    58,511.75x = 15,885,199,332.25
  5. Step 5: Solve for x
    x = 15,885,199,332.25/58,511.75
  6. Step 6: Final answer
    x = 271,487.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.