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Finding the Third Proportional to 90,774 and 132,943.50

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Solution

The third proportional to 90,774 and 132,943.50 is: 194,703.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,774 : 132,943.50 = 132,943.50 : x
  2. Step 2: Convert to fraction form
    90,774/132,943.50 = 132,943.50/x
  3. Step 3: Cross multiply
    90,774x = 132,943.50 × 132,943.50
  4. Step 4: Simplify right side
    90,774x = 17,673,974,192.25
  5. Step 5: Solve for x
    x = 17,673,974,192.25/90,774
  6. Step 6: Final answer
    x = 194,703.04

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.