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Finding the Third Proportional to 83,244 and 183,060

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Solution

The third proportional to 83,244 and 183,060 is: 402,563.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,244 : 183,060 = 183,060 : x
  2. Step 2: Convert to fraction form
    83,244/183,060 = 183,060/x
  3. Step 3: Cross multiply
    83,244x = 183,060 × 183,060
  4. Step 4: Simplify right side
    83,244x = 33,510,963,600
  5. Step 5: Solve for x
    x = 33,510,963,600/83,244
  6. Step 6: Final answer
    x = 402,563.11

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.