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Finding the Third Proportional to 53,952.75 and 118,614.38

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Solution

The third proportional to 53,952.75 and 118,614.38 is: 260,772.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,952.75 : 118,614.38 = 118,614.38 : x
  2. Step 2: Convert to fraction form
    53,952.75/118,614.38 = 118,614.38/x
  3. Step 3: Cross multiply
    53,952.75x = 118,614.38 × 118,614.38
  4. Step 4: Simplify right side
    53,952.75x = 14,069,369,956.64
  5. Step 5: Solve for x
    x = 14,069,369,956.64/53,952.75
  6. Step 6: Final answer
    x = 260,772.06

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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.