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Finding the Third Proportional to 92,306 and 132,001

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Solution

The third proportional to 92,306 and 132,001 is: 188,766.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,306 : 132,001 = 132,001 : x
  2. Step 2: Convert to fraction form
    92,306/132,001 = 132,001/x
  3. Step 3: Cross multiply
    92,306x = 132,001 × 132,001
  4. Step 4: Simplify right side
    92,306x = 17,424,264,001
  5. Step 5: Solve for x
    x = 17,424,264,001/92,306
  6. Step 6: Final answer
    x = 188,766.32

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.