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Finding the Third Proportional to 59,271.75 and 126,856.13

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Solution

The third proportional to 59,271.75 and 126,856.13 is: 271,503.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,271.75 : 126,856.13 = 126,856.13 : x
  2. Step 2: Convert to fraction form
    59,271.75/126,856.13 = 126,856.13/x
  3. Step 3: Cross multiply
    59,271.75x = 126,856.13 × 126,856.13
  4. Step 4: Simplify right side
    59,271.75x = 16,092,476,450.02
  5. Step 5: Solve for x
    x = 16,092,476,450.02/59,271.75
  6. Step 6: Final answer
    x = 271,503.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.