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Finding the Third Proportional to 122,023.50 and 182,382

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Solution

The third proportional to 122,023.50 and 182,382 is: 272,596.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,023.50 : 182,382 = 182,382 : x
  2. Step 2: Convert to fraction form
    122,023.50/182,382 = 182,382/x
  3. Step 3: Cross multiply
    122,023.50x = 182,382 × 182,382
  4. Step 4: Simplify right side
    122,023.50x = 33,263,193,924
  5. Step 5: Solve for x
    x = 33,263,193,924/122,023.50
  6. Step 6: Final answer
    x = 272,596.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.