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Finding the Third Proportional to 65,803 and 93,782

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Solution

The third proportional to 65,803 and 93,782 is: 133,657.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,803 : 93,782 = 93,782 : x
  2. Step 2: Convert to fraction form
    65,803/93,782 = 93,782/x
  3. Step 3: Cross multiply
    65,803x = 93,782 × 93,782
  4. Step 4: Simplify right side
    65,803x = 8,795,063,524
  5. Step 5: Solve for x
    x = 8,795,063,524/65,803
  6. Step 6: Final answer
    x = 133,657.49

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.