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Finding the Third Proportional to 127,349.25 and 186,511.50

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Solution

The third proportional to 127,349.25 and 186,511.50 is: 273,158.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,349.25 : 186,511.50 = 186,511.50 : x
  2. Step 2: Convert to fraction form
    127,349.25/186,511.50 = 186,511.50/x
  3. Step 3: Cross multiply
    127,349.25x = 186,511.50 × 186,511.50
  4. Step 4: Simplify right side
    127,349.25x = 34,786,539,632.25
  5. Step 5: Solve for x
    x = 34,786,539,632.25/127,349.25
  6. Step 6: Final answer
    x = 273,158.57

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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.