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Finding the Third Proportional to 73,680 and 161,724

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Solution

The third proportional to 73,680 and 161,724 is: 354,976.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,680 : 161,724 = 161,724 : x
  2. Step 2: Convert to fraction form
    73,680/161,724 = 161,724/x
  3. Step 3: Cross multiply
    73,680x = 161,724 × 161,724
  4. Step 4: Simplify right side
    73,680x = 26,154,652,176
  5. Step 5: Solve for x
    x = 26,154,652,176/73,680
  6. Step 6: Final answer
    x = 354,976.28

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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.