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Finding the Third Proportional to 56,263.50 and 132,813

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Solution

The third proportional to 56,263.50 and 132,813 is: 313,512.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,263.50 : 132,813 = 132,813 : x
  2. Step 2: Convert to fraction form
    56,263.50/132,813 = 132,813/x
  3. Step 3: Cross multiply
    56,263.50x = 132,813 × 132,813
  4. Step 4: Simplify right side
    56,263.50x = 17,639,292,969
  5. Step 5: Solve for x
    x = 17,639,292,969/56,263.50
  6. Step 6: Final answer
    x = 313,512.19

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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.