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Finding the Third Proportional to 102,792 and 149,814

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Solution

The third proportional to 102,792 and 149,814 is: 218,346.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,792 : 149,814 = 149,814 : x
  2. Step 2: Convert to fraction form
    102,792/149,814 = 149,814/x
  3. Step 3: Cross multiply
    102,792x = 149,814 × 149,814
  4. Step 4: Simplify right side
    102,792x = 22,444,234,596
  5. Step 5: Solve for x
    x = 22,444,234,596/102,792
  6. Step 6: Final answer
    x = 218,346.12

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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.