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Finding the Third Proportional to 48,518 and 74,072

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Solution

The third proportional to 48,518 and 74,072 is: 113,085.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,518 : 74,072 = 74,072 : x
  2. Step 2: Convert to fraction form
    48,518/74,072 = 74,072/x
  3. Step 3: Cross multiply
    48,518x = 74,072 × 74,072
  4. Step 4: Simplify right side
    48,518x = 5,486,661,184
  5. Step 5: Solve for x
    x = 5,486,661,184/48,518
  6. Step 6: Final answer
    x = 113,085.07

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.