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Finding the Third Proportional to 53,113.50 and 113,333.63

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Solution

The third proportional to 53,113.50 and 113,333.63 is: 241,831.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,113.50 : 113,333.63 = 113,333.63 : x
  2. Step 2: Convert to fraction form
    53,113.50/113,333.63 = 113,333.63/x
  3. Step 3: Cross multiply
    53,113.50x = 113,333.63 × 113,333.63
  4. Step 4: Simplify right side
    53,113.50x = 12,844,510,555.64
  5. Step 5: Solve for x
    x = 12,844,510,555.64/53,113.50
  6. Step 6: Final answer
    x = 241,831.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.