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Finding the Third Proportional to 113,940 and 183,060

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Solution

The third proportional to 113,940 and 183,060 is: 294,110.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,940 : 183,060 = 183,060 : x
  2. Step 2: Convert to fraction form
    113,940/183,060 = 183,060/x
  3. Step 3: Cross multiply
    113,940x = 183,060 × 183,060
  4. Step 4: Simplify right side
    113,940x = 33,510,963,600
  5. Step 5: Solve for x
    x = 33,510,963,600/113,940
  6. Step 6: Final answer
    x = 294,110.62

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.