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Finding the Third Proportional to 119,362.50 and 161,535.75

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Solution

The third proportional to 119,362.50 and 161,535.75 is: 218,609.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,362.50 : 161,535.75 = 161,535.75 : x
  2. Step 2: Convert to fraction form
    119,362.50/161,535.75 = 161,535.75/x
  3. Step 3: Cross multiply
    119,362.50x = 161,535.75 × 161,535.75
  4. Step 4: Simplify right side
    119,362.50x = 26,093,798,528.06
  5. Step 5: Solve for x
    x = 26,093,798,528.06/119,362.50
  6. Step 6: Final answer
    x = 218,609.69

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.