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Finding the Third Proportional to 107,294 and 166,226

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Solution

The third proportional to 107,294 and 166,226 is: 257,526.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,294 : 166,226 = 166,226 : x
  2. Step 2: Convert to fraction form
    107,294/166,226 = 166,226/x
  3. Step 3: Cross multiply
    107,294x = 166,226 × 166,226
  4. Step 4: Simplify right side
    107,294x = 27,631,083,076
  5. Step 5: Solve for x
    x = 27,631,083,076/107,294
  6. Step 6: Final answer
    x = 257,526.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.