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Finding the Third Proportional to 48,402 and 104,221

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Solution

The third proportional to 48,402 and 104,221 is: 224,412.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,402 : 104,221 = 104,221 : x
  2. Step 2: Convert to fraction form
    48,402/104,221 = 104,221/x
  3. Step 3: Cross multiply
    48,402x = 104,221 × 104,221
  4. Step 4: Simplify right side
    48,402x = 10,862,016,841
  5. Step 5: Solve for x
    x = 10,862,016,841/48,402
  6. Step 6: Final answer
    x = 224,412.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.