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Finding the Third Proportional to 122,864.25 and 185,423.63

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Solution

The third proportional to 122,864.25 and 185,423.63 is: 279,836.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,864.25 : 185,423.63 = 185,423.63 : x
  2. Step 2: Convert to fraction form
    122,864.25/185,423.63 = 185,423.63/x
  3. Step 3: Cross multiply
    122,864.25x = 185,423.63 × 185,423.63
  4. Step 4: Simplify right side
    122,864.25x = 34,381,920,708.14
  5. Step 5: Solve for x
    x = 34,381,920,708.14/122,864.25
  6. Step 6: Final answer
    x = 279,836.65

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.