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Finding the Third Proportional to 69,735.38 and 152,430.75

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Solution

The third proportional to 69,735.38 and 152,430.75 is: 333,190.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,735.38 : 152,430.75 = 152,430.75 : x
  2. Step 2: Convert to fraction form
    69,735.38/152,430.75 = 152,430.75/x
  3. Step 3: Cross multiply
    69,735.38x = 152,430.75 × 152,430.75
  4. Step 4: Simplify right side
    69,735.38x = 23,235,133,545.56
  5. Step 5: Solve for x
    x = 23,235,133,545.56/69,735.38
  6. Step 6: Final answer
    x = 333,190.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.