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Finding the Third Proportional to 72,738 and 108,013.50

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Solution

The third proportional to 72,738 and 108,013.50 is: 160,396.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,738 : 108,013.50 = 108,013.50 : x
  2. Step 2: Convert to fraction form
    72,738/108,013.50 = 108,013.50/x
  3. Step 3: Cross multiply
    72,738x = 108,013.50 × 108,013.50
  4. Step 4: Simplify right side
    72,738x = 11,666,916,182.25
  5. Step 5: Solve for x
    x = 11,666,916,182.25/72,738
  6. Step 6: Final answer
    x = 160,396.44

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.