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Finding the Third Proportional to 53,235.98 and 117,274.08

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Solution

The third proportional to 53,235.98 and 117,274.08 is: 258,344.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,235.98 : 117,274.08 = 117,274.08 : x
  2. Step 2: Convert to fraction form
    53,235.98/117,274.08 = 117,274.08/x
  3. Step 3: Cross multiply
    53,235.98x = 117,274.08 × 117,274.08
  4. Step 4: Simplify right side
    53,235.98x = 13,753,209,400.07
  5. Step 5: Solve for x
    x = 13,753,209,400.07/53,235.98
  6. Step 6: Final answer
    x = 258,344.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.