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Finding the Third Proportional to 52,632 and 100,414.50

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Solution

The third proportional to 52,632 and 100,414.50 is: 191,576.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,632 : 100,414.50 = 100,414.50 : x
  2. Step 2: Convert to fraction form
    52,632/100,414.50 = 100,414.50/x
  3. Step 3: Cross multiply
    52,632x = 100,414.50 × 100,414.50
  4. Step 4: Simplify right side
    52,632x = 10,083,071,810.25
  5. Step 5: Solve for x
    x = 10,083,071,810.25/52,632
  6. Step 6: Final answer
    x = 191,576.83

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.