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Finding the Third Proportional to 50,658.75 and 117,275.63

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Solution

The third proportional to 50,658.75 and 117,275.63 is: 271,494.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,658.75 : 117,275.63 = 117,275.63 : x
  2. Step 2: Convert to fraction form
    50,658.75/117,275.63 = 117,275.63/x
  3. Step 3: Cross multiply
    50,658.75x = 117,275.63 × 117,275.63
  4. Step 4: Simplify right side
    50,658.75x = 13,753,572,219.14
  5. Step 5: Solve for x
    x = 13,753,572,219.14/50,658.75
  6. Step 6: Final answer
    x = 271,494.50

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.