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Finding the Third Proportional to 100,226 and 147,351

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Solution

The third proportional to 100,226 and 147,351 is: 216,633.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,226 : 147,351 = 147,351 : x
  2. Step 2: Convert to fraction form
    100,226/147,351 = 147,351/x
  3. Step 3: Cross multiply
    100,226x = 147,351 × 147,351
  4. Step 4: Simplify right side
    100,226x = 21,712,317,201
  5. Step 5: Solve for x
    x = 21,712,317,201/100,226
  6. Step 6: Final answer
    x = 216,633.58

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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.