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Finding the Third Proportional to 48,948.75 and 76,308.75

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Solution

The third proportional to 48,948.75 and 76,308.75 is: 118,961.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,948.75 : 76,308.75 = 76,308.75 : x
  2. Step 2: Convert to fraction form
    48,948.75/76,308.75 = 76,308.75/x
  3. Step 3: Cross multiply
    48,948.75x = 76,308.75 × 76,308.75
  4. Step 4: Simplify right side
    48,948.75x = 5,823,025,326.56
  5. Step 5: Solve for x
    x = 5,823,025,326.56/48,948.75
  6. Step 6: Final answer
    x = 118,961.68

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.