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Finding the Third Proportional to 48,608 and 76,152

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Solution

The third proportional to 48,608 and 76,152 is: 119,303.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,608 : 76,152 = 76,152 : x
  2. Step 2: Convert to fraction form
    48,608/76,152 = 76,152/x
  3. Step 3: Cross multiply
    48,608x = 76,152 × 76,152
  4. Step 4: Simplify right side
    48,608x = 5,799,127,104
  5. Step 5: Solve for x
    x = 5,799,127,104/48,608
  6. Step 6: Final answer
    x = 119,303.96

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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.