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Finding the Third Proportional to 53,576 and 81,612

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Solution

The third proportional to 53,576 and 81,612 is: 124,319.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,576 : 81,612 = 81,612 : x
  2. Step 2: Convert to fraction form
    53,576/81,612 = 81,612/x
  3. Step 3: Cross multiply
    53,576x = 81,612 × 81,612
  4. Step 4: Simplify right side
    53,576x = 6,660,518,544
  5. Step 5: Solve for x
    x = 6,660,518,544/53,576
  6. Step 6: Final answer
    x = 124,319.07

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.