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Finding the Third Proportional to 83,024 and 183,492

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Solution

The third proportional to 83,024 and 183,492 is: 405,537.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,024 : 183,492 = 183,492 : x
  2. Step 2: Convert to fraction form
    83,024/183,492 = 183,492/x
  3. Step 3: Cross multiply
    83,024x = 183,492 × 183,492
  4. Step 4: Simplify right side
    83,024x = 33,669,314,064
  5. Step 5: Solve for x
    x = 33,669,314,064/83,024
  6. Step 6: Final answer
    x = 405,537.12

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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.