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Finding the Third Proportional to 52,594.50 and 113,208

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Solution

The third proportional to 52,594.50 and 113,208 is: 243,676.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,594.50 : 113,208 = 113,208 : x
  2. Step 2: Convert to fraction form
    52,594.50/113,208 = 113,208/x
  3. Step 3: Cross multiply
    52,594.50x = 113,208 × 113,208
  4. Step 4: Simplify right side
    52,594.50x = 12,816,051,264
  5. Step 5: Solve for x
    x = 12,816,051,264/52,594.50
  6. Step 6: Final answer
    x = 243,676.64

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.