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Finding the Third Proportional to 86,050.69 and 123,938.44

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Solution

The third proportional to 86,050.69 and 123,938.44 is: 178,508.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,050.69 : 123,938.44 = 123,938.44 : x
  2. Step 2: Convert to fraction form
    86,050.69/123,938.44 = 123,938.44/x
  3. Step 3: Cross multiply
    86,050.69x = 123,938.44 × 123,938.44
  4. Step 4: Simplify right side
    86,050.69x = 15,360,736,289.94
  5. Step 5: Solve for x
    x = 15,360,736,289.94/86,050.69
  6. Step 6: Final answer
    x = 178,508.00

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.