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Finding the Third Proportional to 64,342.50 and 92,822

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Solution

The third proportional to 64,342.50 and 92,822 is: 133,907.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,342.50 : 92,822 = 92,822 : x
  2. Step 2: Convert to fraction form
    64,342.50/92,822 = 92,822/x
  3. Step 3: Cross multiply
    64,342.50x = 92,822 × 92,822
  4. Step 4: Simplify right side
    64,342.50x = 8,615,923,684
  5. Step 5: Solve for x
    x = 8,615,923,684/64,342.50
  6. Step 6: Final answer
    x = 133,907.19

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.