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Finding the Third Proportional to 53,020.41 and 114,341.63

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Solution

The third proportional to 53,020.41 and 114,341.63 is: 246,584.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,020.41 : 114,341.63 = 114,341.63 : x
  2. Step 2: Convert to fraction form
    53,020.41/114,341.63 = 114,341.63/x
  3. Step 3: Cross multiply
    53,020.41x = 114,341.63 × 114,341.63
  4. Step 4: Simplify right side
    53,020.41x = 13,074,007,207.64
  5. Step 5: Solve for x
    x = 13,074,007,207.64/53,020.41
  6. Step 6: Final answer
    x = 246,584.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.