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Finding the Third Proportional to 48,354 and 101,604

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Solution

The third proportional to 48,354 and 101,604 is: 213,495.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,354 : 101,604 = 101,604 : x
  2. Step 2: Convert to fraction form
    48,354/101,604 = 101,604/x
  3. Step 3: Cross multiply
    48,354x = 101,604 × 101,604
  4. Step 4: Simplify right side
    48,354x = 10,323,372,816
  5. Step 5: Solve for x
    x = 10,323,372,816/48,354
  6. Step 6: Final answer
    x = 213,495.74

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