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Finding the Third Proportional to 48,372 and 101,640

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Solution

The third proportional to 48,372 and 101,640 is: 213,567.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,372 : 101,640 = 101,640 : x
  2. Step 2: Convert to fraction form
    48,372/101,640 = 101,640/x
  3. Step 3: Cross multiply
    48,372x = 101,640 × 101,640
  4. Step 4: Simplify right side
    48,372x = 10,330,689,600
  5. Step 5: Solve for x
    x = 10,330,689,600/48,372
  6. Step 6: Final answer
    x = 213,567.55

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.