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Finding the Third Proportional to 51,909.19 and 74,230.17

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Solution

The third proportional to 51,909.19 and 74,230.17 is: 106,149.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,909.19 : 74,230.17 = 74,230.17 : x
  2. Step 2: Convert to fraction form
    51,909.19/74,230.17 = 74,230.17/x
  3. Step 3: Cross multiply
    51,909.19x = 74,230.17 × 74,230.17
  4. Step 4: Simplify right side
    51,909.19x = 5,510,118,416.59
  5. Step 5: Solve for x
    x = 5,510,118,416.59/51,909.19
  6. Step 6: Final answer
    x = 106,149.19

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