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Finding the Third Proportional to 48,819 and 101,526

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Solution

The third proportional to 48,819 and 101,526 is: 211,137.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,819 : 101,526 = 101,526 : x
  2. Step 2: Convert to fraction form
    48,819/101,526 = 101,526/x
  3. Step 3: Cross multiply
    48,819x = 101,526 × 101,526
  4. Step 4: Simplify right side
    48,819x = 10,307,528,676
  5. Step 5: Solve for x
    x = 10,307,528,676/48,819
  6. Step 6: Final answer
    x = 211,137.64

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.