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Finding the Third Proportional to 83,010 and 183,463

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Solution

The third proportional to 83,010 and 183,463 is: 405,477.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,010 : 183,463 = 183,463 : x
  2. Step 2: Convert to fraction form
    83,010/183,463 = 183,463/x
  3. Step 3: Cross multiply
    83,010x = 183,463 × 183,463
  4. Step 4: Simplify right side
    83,010x = 33,658,672,369
  5. Step 5: Solve for x
    x = 33,658,672,369/83,010
  6. Step 6: Final answer
    x = 405,477.32

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.