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Finding the Third Proportional to 52,017.19 and 122,717.53

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Solution

The third proportional to 52,017.19 and 122,717.53 is: 289,511.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,017.19 : 122,717.53 = 122,717.53 : x
  2. Step 2: Convert to fraction form
    52,017.19/122,717.53 = 122,717.53/x
  3. Step 3: Cross multiply
    52,017.19x = 122,717.53 × 122,717.53
  4. Step 4: Simplify right side
    52,017.19x = 15,059,592,476.09
  5. Step 5: Solve for x
    x = 15,059,592,476.09/52,017.19
  6. Step 6: Final answer
    x = 289,511.86

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.