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Finding the Third Proportional to 72,450.70 and 146,866.92

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Solution

The third proportional to 72,450.70 and 146,866.92 is: 297,718.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,450.70 : 146,866.92 = 146,866.92 : x
  2. Step 2: Convert to fraction form
    72,450.70/146,866.92 = 146,866.92/x
  3. Step 3: Cross multiply
    72,450.70x = 146,866.92 × 146,866.92
  4. Step 4: Simplify right side
    72,450.70x = 21,569,892,741.04
  5. Step 5: Solve for x
    x = 21,569,892,741.04/72,450.70
  6. Step 6: Final answer
    x = 297,718.20

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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.