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Finding the Third Proportional to 102,224 and 159,552

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Solution

The third proportional to 102,224 and 159,552 is: 249,029.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,224 : 159,552 = 159,552 : x
  2. Step 2: Convert to fraction form
    102,224/159,552 = 159,552/x
  3. Step 3: Cross multiply
    102,224x = 159,552 × 159,552
  4. Step 4: Simplify right side
    102,224x = 25,456,840,704
  5. Step 5: Solve for x
    x = 25,456,840,704/102,224
  6. Step 6: Final answer
    x = 249,029.98

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.