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Finding the Third Proportional to 71,836 and 145,724

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Solution

The third proportional to 71,836 and 145,724 is: 295,610.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,836 : 145,724 = 145,724 : x
  2. Step 2: Convert to fraction form
    71,836/145,724 = 145,724/x
  3. Step 3: Cross multiply
    71,836x = 145,724 × 145,724
  4. Step 4: Simplify right side
    71,836x = 21,235,484,176
  5. Step 5: Solve for x
    x = 21,235,484,176/71,836
  6. Step 6: Final answer
    x = 295,610.62

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.