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Finding the Third Proportional to 49,218.75 and 76,356

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Solution

The third proportional to 49,218.75 and 76,356 is: 118,455.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,218.75 : 76,356 = 76,356 : x
  2. Step 2: Convert to fraction form
    49,218.75/76,356 = 76,356/x
  3. Step 3: Cross multiply
    49,218.75x = 76,356 × 76,356
  4. Step 4: Simplify right side
    49,218.75x = 5,830,238,736
  5. Step 5: Solve for x
    x = 5,830,238,736/49,218.75
  6. Step 6: Final answer
    x = 118,455.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.