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Finding the Third Proportional to 58,063.50 and 127,197

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Solution

The third proportional to 58,063.50 and 127,197 is: 278,644.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,063.50 : 127,197 = 127,197 : x
  2. Step 2: Convert to fraction form
    58,063.50/127,197 = 127,197/x
  3. Step 3: Cross multiply
    58,063.50x = 127,197 × 127,197
  4. Step 4: Simplify right side
    58,063.50x = 16,179,076,809
  5. Step 5: Solve for x
    x = 16,179,076,809/58,063.50
  6. Step 6: Final answer
    x = 278,644.53

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.