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Finding the Third Proportional to 52,792.13 and 113,836.13

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Solution

The third proportional to 52,792.13 and 113,836.13 is: 245,465.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,792.13 : 113,836.13 = 113,836.13 : x
  2. Step 2: Convert to fraction form
    52,792.13/113,836.13 = 113,836.13/x
  3. Step 3: Cross multiply
    52,792.13x = 113,836.13 × 113,836.13
  4. Step 4: Simplify right side
    52,792.13x = 12,958,663,355.02
  5. Step 5: Solve for x
    x = 12,958,663,355.02/52,792.13
  6. Step 6: Final answer
    x = 245,465.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.