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Finding the Third Proportional to 73,020 and 107,802

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Solution

The third proportional to 73,020 and 107,802 is: 159,151.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,020 : 107,802 = 107,802 : x
  2. Step 2: Convert to fraction form
    73,020/107,802 = 107,802/x
  3. Step 3: Cross multiply
    73,020x = 107,802 × 107,802
  4. Step 4: Simplify right side
    73,020x = 11,621,271,204
  5. Step 5: Solve for x
    x = 11,621,271,204/73,020
  6. Step 6: Final answer
    x = 159,151.89

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.