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Finding the Third Proportional to 92,738.25 and 178,088.63

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Solution

The third proportional to 92,738.25 and 178,088.63 is: 341,990.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,738.25 : 178,088.63 = 178,088.63 : x
  2. Step 2: Convert to fraction form
    92,738.25/178,088.63 = 178,088.63/x
  3. Step 3: Cross multiply
    92,738.25x = 178,088.63 × 178,088.63
  4. Step 4: Simplify right side
    92,738.25x = 31,715,558,354.39
  5. Step 5: Solve for x
    x = 31,715,558,354.39/92,738.25
  6. Step 6: Final answer
    x = 341,990.05

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.