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Finding the Third Proportional to 42,665 and 93,094

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Solution

The third proportional to 42,665 and 93,094 is: 203,128.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,665 : 93,094 = 93,094 : x
  2. Step 2: Convert to fraction form
    42,665/93,094 = 93,094/x
  3. Step 3: Cross multiply
    42,665x = 93,094 × 93,094
  4. Step 4: Simplify right side
    42,665x = 8,666,492,836
  5. Step 5: Solve for x
    x = 8,666,492,836/42,665
  6. Step 6: Final answer
    x = 203,128.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.