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Finding the Third Proportional to 93,000 and 135,178

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Solution

The third proportional to 93,000 and 135,178 is: 196,484.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,000 : 135,178 = 135,178 : x
  2. Step 2: Convert to fraction form
    93,000/135,178 = 135,178/x
  3. Step 3: Cross multiply
    93,000x = 135,178 × 135,178
  4. Step 4: Simplify right side
    93,000x = 18,273,091,684
  5. Step 5: Solve for x
    x = 18,273,091,684/93,000
  6. Step 6: Final answer
    x = 196,484.86

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.