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Finding the Third Proportional to 59,125.50 and 126,999

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Solution

The third proportional to 59,125.50 and 126,999 is: 272,788.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,125.50 : 126,999 = 126,999 : x
  2. Step 2: Convert to fraction form
    59,125.50/126,999 = 126,999/x
  3. Step 3: Cross multiply
    59,125.50x = 126,999 × 126,999
  4. Step 4: Simplify right side
    59,125.50x = 16,128,746,001
  5. Step 5: Solve for x
    x = 16,128,746,001/59,125.50
  6. Step 6: Final answer
    x = 272,788.32

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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.