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Finding the Third Proportional to 72,532.13 and 102,141

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Solution

The third proportional to 72,532.13 and 102,141 is: 143,836.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,532.13 : 102,141 = 102,141 : x
  2. Step 2: Convert to fraction form
    72,532.13/102,141 = 102,141/x
  3. Step 3: Cross multiply
    72,532.13x = 102,141 × 102,141
  4. Step 4: Simplify right side
    72,532.13x = 10,432,783,881
  5. Step 5: Solve for x
    x = 10,432,783,881/72,532.13
  6. Step 6: Final answer
    x = 143,836.73

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.