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Finding the Third Proportional to 69,632 and 153,088

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Solution

The third proportional to 69,632 and 153,088 is: 336,568.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,632 : 153,088 = 153,088 : x
  2. Step 2: Convert to fraction form
    69,632/153,088 = 153,088/x
  3. Step 3: Cross multiply
    69,632x = 153,088 × 153,088
  4. Step 4: Simplify right side
    69,632x = 23,435,935,744
  5. Step 5: Solve for x
    x = 23,435,935,744/69,632
  6. Step 6: Final answer
    x = 336,568.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.