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Finding the Third Proportional to 100,222 and 147,052

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Solution

The third proportional to 100,222 and 147,052 is: 215,763.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,222 : 147,052 = 147,052 : x
  2. Step 2: Convert to fraction form
    100,222/147,052 = 147,052/x
  3. Step 3: Cross multiply
    100,222x = 147,052 × 147,052
  4. Step 4: Simplify right side
    100,222x = 21,624,290,704
  5. Step 5: Solve for x
    x = 21,624,290,704/100,222
  6. Step 6: Final answer
    x = 215,763.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.