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Finding the Third Proportional to 94,218 and 132,045

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Solution

The third proportional to 94,218 and 132,045 is: 185,058.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,218 : 132,045 = 132,045 : x
  2. Step 2: Convert to fraction form
    94,218/132,045 = 132,045/x
  3. Step 3: Cross multiply
    94,218x = 132,045 × 132,045
  4. Step 4: Simplify right side
    94,218x = 17,435,882,025
  5. Step 5: Solve for x
    x = 17,435,882,025/94,218
  6. Step 6: Final answer
    x = 185,058.93

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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.