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Finding the Third Proportional to 53,113.64 and 114,121.41

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Solution

The third proportional to 53,113.64 and 114,121.41 is: 245,204.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,113.64 : 114,121.41 = 114,121.41 : x
  2. Step 2: Convert to fraction form
    53,113.64/114,121.41 = 114,121.41/x
  3. Step 3: Cross multiply
    53,113.64x = 114,121.41 × 114,121.41
  4. Step 4: Simplify right side
    53,113.64x = 13,023,695,364.48
  5. Step 5: Solve for x
    x = 13,023,695,364.48/53,113.64
  6. Step 6: Final answer
    x = 245,204.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.