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Finding the Third Proportional to 127,047.25 and 185,795.50

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Solution

The third proportional to 127,047.25 and 185,795.50 is: 271,709.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,047.25 : 185,795.50 = 185,795.50 : x
  2. Step 2: Convert to fraction form
    127,047.25/185,795.50 = 185,795.50/x
  3. Step 3: Cross multiply
    127,047.25x = 185,795.50 × 185,795.50
  4. Step 4: Simplify right side
    127,047.25x = 34,519,967,820.25
  5. Step 5: Solve for x
    x = 34,519,967,820.25/127,047.25
  6. Step 6: Final answer
    x = 271,709.68

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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.