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Finding the Third Proportional to 111,753 and 243,157.50

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Solution

The third proportional to 111,753 and 243,157.50 is: 529,073.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,753 : 243,157.50 = 243,157.50 : x
  2. Step 2: Convert to fraction form
    111,753/243,157.50 = 243,157.50/x
  3. Step 3: Cross multiply
    111,753x = 243,157.50 × 243,157.50
  4. Step 4: Simplify right side
    111,753x = 59,125,569,806.25
  5. Step 5: Solve for x
    x = 59,125,569,806.25/111,753
  6. Step 6: Final answer
    x = 529,073.67

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.