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Finding the Third Proportional to 63,589 and 93,433

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Solution

The third proportional to 63,589 and 93,433 is: 137,283.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,589 : 93,433 = 93,433 : x
  2. Step 2: Convert to fraction form
    63,589/93,433 = 93,433/x
  3. Step 3: Cross multiply
    63,589x = 93,433 × 93,433
  4. Step 4: Simplify right side
    63,589x = 8,729,725,489
  5. Step 5: Solve for x
    x = 8,729,725,489/63,589
  6. Step 6: Final answer
    x = 137,283.58

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.