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Finding the Third Proportional to 48,715 and 76,148

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Solution

The third proportional to 48,715 and 76,148 is: 119,029.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,715 : 76,148 = 76,148 : x
  2. Step 2: Convert to fraction form
    48,715/76,148 = 76,148/x
  3. Step 3: Cross multiply
    48,715x = 76,148 × 76,148
  4. Step 4: Simplify right side
    48,715x = 5,798,517,904
  5. Step 5: Solve for x
    x = 5,798,517,904/48,715
  6. Step 6: Final answer
    x = 119,029.41

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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.