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Finding the Third Proportional to 62,541 and 90,463.50

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Solution

The third proportional to 62,541 and 90,463.50 is: 130,852.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,541 : 90,463.50 = 90,463.50 : x
  2. Step 2: Convert to fraction form
    62,541/90,463.50 = 90,463.50/x
  3. Step 3: Cross multiply
    62,541x = 90,463.50 × 90,463.50
  4. Step 4: Simplify right side
    62,541x = 8,183,644,832.25
  5. Step 5: Solve for x
    x = 8,183,644,832.25/62,541
  6. Step 6: Final answer
    x = 130,852.48

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.