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Finding the Third Proportional to 48,168 and 76,712

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Solution

The third proportional to 48,168 and 76,712 is: 122,170.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,168 : 76,712 = 76,712 : x
  2. Step 2: Convert to fraction form
    48,168/76,712 = 76,712/x
  3. Step 3: Cross multiply
    48,168x = 76,712 × 76,712
  4. Step 4: Simplify right side
    48,168x = 5,884,730,944
  5. Step 5: Solve for x
    x = 5,884,730,944/48,168
  6. Step 6: Final answer
    x = 122,170.96

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.