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Finding the Third Proportional to 72,541.13 and 102,736.69

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Solution

The third proportional to 72,541.13 and 102,736.69 is: 145,501.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,541.13 : 102,736.69 = 102,736.69 : x
  2. Step 2: Convert to fraction form
    72,541.13/102,736.69 = 102,736.69/x
  3. Step 3: Cross multiply
    72,541.13x = 102,736.69 × 102,736.69
  4. Step 4: Simplify right side
    72,541.13x = 10,554,826,958.47
  5. Step 5: Solve for x
    x = 10,554,826,958.47/72,541.13
  6. Step 6: Final answer
    x = 145,501.29

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.