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Finding the Third Proportional to 56,264.63 and 132,816.38

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Solution

The third proportional to 56,264.63 and 132,816.38 is: 313,521.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,264.63 : 132,816.38 = 132,816.38 : x
  2. Step 2: Convert to fraction form
    56,264.63/132,816.38 = 132,816.38/x
  3. Step 3: Cross multiply
    56,264.63x = 132,816.38 × 132,816.38
  4. Step 4: Simplify right side
    56,264.63x = 17,640,189,468.14
  5. Step 5: Solve for x
    x = 17,640,189,468.14/56,264.63
  6. Step 6: Final answer
    x = 313,521.85

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.