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Finding the Third Proportional to 89,390.50 and 132,539

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Solution

The third proportional to 89,390.50 and 132,539 is: 196,515.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,390.50 : 132,539 = 132,539 : x
  2. Step 2: Convert to fraction form
    89,390.50/132,539 = 132,539/x
  3. Step 3: Cross multiply
    89,390.50x = 132,539 × 132,539
  4. Step 4: Simplify right side
    89,390.50x = 17,566,586,521
  5. Step 5: Solve for x
    x = 17,566,586,521/89,390.50
  6. Step 6: Final answer
    x = 196,515.14

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.