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Finding the Third Proportional to 52,362 and 113,638.50

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Solution

The third proportional to 52,362 and 113,638.50 is: 246,623.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,362 : 113,638.50 = 113,638.50 : x
  2. Step 2: Convert to fraction form
    52,362/113,638.50 = 113,638.50/x
  3. Step 3: Cross multiply
    52,362x = 113,638.50 × 113,638.50
  4. Step 4: Simplify right side
    52,362x = 12,913,708,682.25
  5. Step 5: Solve for x
    x = 12,913,708,682.25/52,362
  6. Step 6: Final answer
    x = 246,623.67

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.