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Finding the Third Proportional to 49,320 and 76,140

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Solution

The third proportional to 49,320 and 76,140 is: 117,544.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,320 : 76,140 = 76,140 : x
  2. Step 2: Convert to fraction form
    49,320/76,140 = 76,140/x
  3. Step 3: Cross multiply
    49,320x = 76,140 × 76,140
  4. Step 4: Simplify right side
    49,320x = 5,797,299,600
  5. Step 5: Solve for x
    x = 5,797,299,600/49,320
  6. Step 6: Final answer
    x = 117,544.60

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.