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Finding the Third Proportional to 58,460.50 and 126,262.50

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Solution

The third proportional to 58,460.50 and 126,262.50 is: 272,700.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,460.50 : 126,262.50 = 126,262.50 : x
  2. Step 2: Convert to fraction form
    58,460.50/126,262.50 = 126,262.50/x
  3. Step 3: Cross multiply
    58,460.50x = 126,262.50 × 126,262.50
  4. Step 4: Simplify right side
    58,460.50x = 15,942,218,906.25
  5. Step 5: Solve for x
    x = 15,942,218,906.25/58,460.50
  6. Step 6: Final answer
    x = 272,700.69

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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.