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Finding the Third Proportional to 73,084.50 and 157,826.25

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Solution

The third proportional to 73,084.50 and 157,826.25 is: 340,826.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,084.50 : 157,826.25 = 157,826.25 : x
  2. Step 2: Convert to fraction form
    73,084.50/157,826.25 = 157,826.25/x
  3. Step 3: Cross multiply
    73,084.50x = 157,826.25 × 157,826.25
  4. Step 4: Simplify right side
    73,084.50x = 24,909,125,189.06
  5. Step 5: Solve for x
    x = 24,909,125,189.06/73,084.50
  6. Step 6: Final answer
    x = 340,826.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.