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Finding the Third Proportional to 112,077 and 243,856.50

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Solution

The third proportional to 112,077 and 243,856.50 is: 530,581.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,077 : 243,856.50 = 243,856.50 : x
  2. Step 2: Convert to fraction form
    112,077/243,856.50 = 243,856.50/x
  3. Step 3: Cross multiply
    112,077x = 243,856.50 × 243,856.50
  4. Step 4: Simplify right side
    112,077x = 59,465,992,592.25
  5. Step 5: Solve for x
    x = 59,465,992,592.25/112,077
  6. Step 6: Final answer
    x = 530,581.59

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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.