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Finding the Third Proportional to 72,263 and 113,508.50

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Solution

The third proportional to 72,263 and 113,508.50 is: 178,295.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,263 : 113,508.50 = 113,508.50 : x
  2. Step 2: Convert to fraction form
    72,263/113,508.50 = 113,508.50/x
  3. Step 3: Cross multiply
    72,263x = 113,508.50 × 113,508.50
  4. Step 4: Simplify right side
    72,263x = 12,884,179,572.25
  5. Step 5: Solve for x
    x = 12,884,179,572.25/72,263
  6. Step 6: Final answer
    x = 178,295.66

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.