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Finding the Third Proportional to 58,468.50 and 126,279

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Solution

The third proportional to 58,468.50 and 126,279 is: 272,734.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,468.50 : 126,279 = 126,279 : x
  2. Step 2: Convert to fraction form
    58,468.50/126,279 = 126,279/x
  3. Step 3: Cross multiply
    58,468.50x = 126,279 × 126,279
  4. Step 4: Simplify right side
    58,468.50x = 15,946,385,841
  5. Step 5: Solve for x
    x = 15,946,385,841/58,468.50
  6. Step 6: Final answer
    x = 272,734.65

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.