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Finding the Third Proportional to 48,664 and 104,924

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Solution

The third proportional to 48,664 and 104,924 is: 226,225.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,664 : 104,924 = 104,924 : x
  2. Step 2: Convert to fraction form
    48,664/104,924 = 104,924/x
  3. Step 3: Cross multiply
    48,664x = 104,924 × 104,924
  4. Step 4: Simplify right side
    48,664x = 11,009,045,776
  5. Step 5: Solve for x
    x = 11,009,045,776/48,664
  6. Step 6: Final answer
    x = 226,225.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.