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Finding the Third Proportional to 127,345.50 and 186,504.75

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Solution

The third proportional to 127,345.50 and 186,504.75 is: 273,146.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,345.50 : 186,504.75 = 186,504.75 : x
  2. Step 2: Convert to fraction form
    127,345.50/186,504.75 = 186,504.75/x
  3. Step 3: Cross multiply
    127,345.50x = 186,504.75 × 186,504.75
  4. Step 4: Simplify right side
    127,345.50x = 34,784,021,772.56
  5. Step 5: Solve for x
    x = 34,784,021,772.56/127,345.50
  6. Step 6: Final answer
    x = 273,146.85

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Why These Related Problems?

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