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Finding the Third Proportional to 73,020 and 106,658

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Solution

The third proportional to 73,020 and 106,658 is: 155,791.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,020 : 106,658 = 106,658 : x
  2. Step 2: Convert to fraction form
    73,020/106,658 = 106,658/x
  3. Step 3: Cross multiply
    73,020x = 106,658 × 106,658
  4. Step 4: Simplify right side
    73,020x = 11,375,928,964
  5. Step 5: Solve for x
    x = 11,375,928,964/73,020
  6. Step 6: Final answer
    x = 155,791.96

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.