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Finding the Third Proportional to 94,206 and 132,033

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Solution

The third proportional to 94,206 and 132,033 is: 185,048.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,206 : 132,033 = 132,033 : x
  2. Step 2: Convert to fraction form
    94,206/132,033 = 132,033/x
  3. Step 3: Cross multiply
    94,206x = 132,033 × 132,033
  4. Step 4: Simplify right side
    94,206x = 17,432,713,089
  5. Step 5: Solve for x
    x = 17,432,713,089/94,206
  6. Step 6: Final answer
    x = 185,048.86

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.