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Finding the Third Proportional to 127,047.38 and 185,796

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Solution

The third proportional to 127,047.38 and 185,796 is: 271,710.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,047.38 : 185,796 = 185,796 : x
  2. Step 2: Convert to fraction form
    127,047.38/185,796 = 185,796/x
  3. Step 3: Cross multiply
    127,047.38x = 185,796 × 185,796
  4. Step 4: Simplify right side
    127,047.38x = 34,520,153,616
  5. Step 5: Solve for x
    x = 34,520,153,616/127,047.38
  6. Step 6: Final answer
    x = 271,710.88

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.