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Finding the Third Proportional to 48,480 and 76,104

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Solution

The third proportional to 48,480 and 76,104 is: 119,468.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,480 : 76,104 = 76,104 : x
  2. Step 2: Convert to fraction form
    48,480/76,104 = 76,104/x
  3. Step 3: Cross multiply
    48,480x = 76,104 × 76,104
  4. Step 4: Simplify right side
    48,480x = 5,791,818,816
  5. Step 5: Solve for x
    x = 5,791,818,816/48,480
  6. Step 6: Final answer
    x = 119,468.21

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.