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Finding the Third Proportional to 52,590.50 and 113,200

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Solution

The third proportional to 52,590.50 and 113,200 is: 243,660.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,590.50 : 113,200 = 113,200 : x
  2. Step 2: Convert to fraction form
    52,590.50/113,200 = 113,200/x
  3. Step 3: Cross multiply
    52,590.50x = 113,200 × 113,200
  4. Step 4: Simplify right side
    52,590.50x = 12,814,240,000
  5. Step 5: Solve for x
    x = 12,814,240,000/52,590.50
  6. Step 6: Final answer
    x = 243,660.74

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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.