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Finding the Third Proportional to 63,252 and 133,470

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Solution

The third proportional to 63,252 and 133,470 is: 281,639.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,252 : 133,470 = 133,470 : x
  2. Step 2: Convert to fraction form
    63,252/133,470 = 133,470/x
  3. Step 3: Cross multiply
    63,252x = 133,470 × 133,470
  4. Step 4: Simplify right side
    63,252x = 17,814,240,900
  5. Step 5: Solve for x
    x = 17,814,240,900/63,252
  6. Step 6: Final answer
    x = 281,639.17

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.