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Finding the Third Proportional to 59,616 and 126,339.75

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Solution

The third proportional to 59,616 and 126,339.75 is: 267,742.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,616 : 126,339.75 = 126,339.75 : x
  2. Step 2: Convert to fraction form
    59,616/126,339.75 = 126,339.75/x
  3. Step 3: Cross multiply
    59,616x = 126,339.75 × 126,339.75
  4. Step 4: Simplify right side
    59,616x = 15,961,732,430.06
  5. Step 5: Solve for x
    x = 15,961,732,430.06/59,616
  6. Step 6: Final answer
    x = 267,742.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.