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Finding the Third Proportional to 48,123 and 101,970

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Solution

The third proportional to 48,123 and 101,970 is: 216,068.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,123 : 101,970 = 101,970 : x
  2. Step 2: Convert to fraction form
    48,123/101,970 = 101,970/x
  3. Step 3: Cross multiply
    48,123x = 101,970 × 101,970
  4. Step 4: Simplify right side
    48,123x = 10,397,880,900
  5. Step 5: Solve for x
    x = 10,397,880,900/48,123
  6. Step 6: Final answer
    x = 216,068.84

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.